(x-11)(x^2-19x+88)(3x-4)-(x-8)(x^2-19x+88)(x-7)=(x-8)(x-3)(x-11)(x-6)

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Solution for (x-11)(x^2-19x+88)(3x-4)-(x-8)(x^2-19x+88)(x-7)=(x-8)(x-3)(x-11)(x-6) equation:


Simplifying
(x + -11)(x2 + -19x + 88)(3x + -4) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)

Reorder the terms:
(-11 + x)(x2 + -19x + 88)(3x + -4) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)

Reorder the terms:
(-11 + x)(88 + -19x + x2)(3x + -4) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)

Reorder the terms:
(-11 + x)(88 + -19x + x2)(-4 + 3x) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)

Multiply (-11 + x) * (88 + -19x + x2)
(-11(88 + -19x + x2) + x(88 + -19x + x2))(-4 + 3x) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)
((88 * -11 + -19x * -11 + x2 * -11) + x(88 + -19x + x2))(-4 + 3x) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)
((-968 + 209x + -11x2) + x(88 + -19x + x2))(-4 + 3x) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)
(-968 + 209x + -11x2 + (88 * x + -19x * x + x2 * x))(-4 + 3x) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)
(-968 + 209x + -11x2 + (88x + -19x2 + x3))(-4 + 3x) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)

Reorder the terms:
(-968 + 209x + 88x + -11x2 + -19x2 + x3)(-4 + 3x) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)

Combine like terms: 209x + 88x = 297x
(-968 + 297x + -11x2 + -19x2 + x3)(-4 + 3x) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)

Combine like terms: -11x2 + -19x2 = -30x2
(-968 + 297x + -30x2 + x3)(-4 + 3x) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)

Multiply (-968 + 297x + -30x2 + x3) * (-4 + 3x)
(-968(-4 + 3x) + 297x * (-4 + 3x) + -30x2 * (-4 + 3x) + x3(-4 + 3x)) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)
((-4 * -968 + 3x * -968) + 297x * (-4 + 3x) + -30x2 * (-4 + 3x) + x3(-4 + 3x)) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)
((3872 + -2904x) + 297x * (-4 + 3x) + -30x2 * (-4 + 3x) + x3(-4 + 3x)) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)
(3872 + -2904x + (-4 * 297x + 3x * 297x) + -30x2 * (-4 + 3x) + x3(-4 + 3x)) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)
(3872 + -2904x + (-1188x + 891x2) + -30x2 * (-4 + 3x) + x3(-4 + 3x)) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)
(3872 + -2904x + -1188x + 891x2 + (-4 * -30x2 + 3x * -30x2) + x3(-4 + 3x)) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)
(3872 + -2904x + -1188x + 891x2 + (120x2 + -90x3) + x3(-4 + 3x)) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)
(3872 + -2904x + -1188x + 891x2 + 120x2 + -90x3 + (-4 * x3 + 3x * x3)) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)
(3872 + -2904x + -1188x + 891x2 + 120x2 + -90x3 + (-4x3 + 3x4)) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)

Combine like terms: -2904x + -1188x = -4092x
(3872 + -4092x + 891x2 + 120x2 + -90x3 + -4x3 + 3x4) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)

Combine like terms: 891x2 + 120x2 = 1011x2
(3872 + -4092x + 1011x2 + -90x3 + -4x3 + 3x4) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)

Combine like terms: -90x3 + -4x3 = -94x3
(3872 + -4092x + 1011x2 + -94x3 + 3x4) + -1(x + -8)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)

Reorder the terms:
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(-8 + x)(x2 + -19x + 88)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)

Reorder the terms:
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(-8 + x)(88 + -19x + x2)(x + -7) = (x + -8)(x + -3)(x + -11)(x + -6)

Reorder the terms:
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(-8 + x)(88 + -19x + x2)(-7 + x) = (x + -8)(x + -3)(x + -11)(x + -6)

Multiply (-8 + x) * (88 + -19x + x2)
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(-8(88 + -19x + x2) + x(88 + -19x + x2))(-7 + x) = (x + -8)(x + -3)(x + -11)(x + -6)
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1((88 * -8 + -19x * -8 + x2 * -8) + x(88 + -19x + x2))(-7 + x) = (x + -8)(x + -3)(x + -11)(x + -6)
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1((-704 + 152x + -8x2) + x(88 + -19x + x2))(-7 + x) = (x + -8)(x + -3)(x + -11)(x + -6)
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(-704 + 152x + -8x2 + (88 * x + -19x * x + x2 * x))(-7 + x) = (x + -8)(x + -3)(x + -11)(x + -6)
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(-704 + 152x + -8x2 + (88x + -19x2 + x3))(-7 + x) = (x + -8)(x + -3)(x + -11)(x + -6)

Reorder the terms:
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(-704 + 152x + 88x + -8x2 + -19x2 + x3)(-7 + x) = (x + -8)(x + -3)(x + -11)(x + -6)

Combine like terms: 152x + 88x = 240x
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(-704 + 240x + -8x2 + -19x2 + x3)(-7 + x) = (x + -8)(x + -3)(x + -11)(x + -6)

Combine like terms: -8x2 + -19x2 = -27x2
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(-704 + 240x + -27x2 + x3)(-7 + x) = (x + -8)(x + -3)(x + -11)(x + -6)

Multiply (-704 + 240x + -27x2 + x3) * (-7 + x)
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(-704(-7 + x) + 240x * (-7 + x) + -27x2 * (-7 + x) + x3(-7 + x)) = (x + -8)(x + -3)(x + -11)(x + -6)
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1((-7 * -704 + x * -704) + 240x * (-7 + x) + -27x2 * (-7 + x) + x3(-7 + x)) = (x + -8)(x + -3)(x + -11)(x + -6)
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1((4928 + -704x) + 240x * (-7 + x) + -27x2 * (-7 + x) + x3(-7 + x)) = (x + -8)(x + -3)(x + -11)(x + -6)
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(4928 + -704x + (-7 * 240x + x * 240x) + -27x2 * (-7 + x) + x3(-7 + x)) = (x + -8)(x + -3)(x + -11)(x + -6)
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(4928 + -704x + (-1680x + 240x2) + -27x2 * (-7 + x) + x3(-7 + x)) = (x + -8)(x + -3)(x + -11)(x + -6)
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(4928 + -704x + -1680x + 240x2 + (-7 * -27x2 + x * -27x2) + x3(-7 + x)) = (x + -8)(x + -3)(x + -11)(x + -6)
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(4928 + -704x + -1680x + 240x2 + (189x2 + -27x3) + x3(-7 + x)) = (x + -8)(x + -3)(x + -11)(x + -6)
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(4928 + -704x + -1680x + 240x2 + 189x2 + -27x3 + (-7 * x3 + x * x3)) = (x + -8)(x + -3)(x + -11)(x + -6)
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(4928 + -704x + -1680x + 240x2 + 189x2 + -27x3 + (-7x3 + x4)) = (x + -8)(x + -3)(x + -11)(x + -6)

Combine like terms: -704x + -1680x = -2384x
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(4928 + -2384x + 240x2 + 189x2 + -27x3 + -7x3 + x4) = (x + -8)(x + -3)(x + -11)(x + -6)

Combine like terms: 240x2 + 189x2 = 429x2
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(4928 + -2384x + 429x2 + -27x3 + -7x3 + x4) = (x + -8)(x + -3)(x + -11)(x + -6)

Combine like terms: -27x3 + -7x3 = -34x3
3872 + -4092x + 1011x2 + -94x3 + 3x4 + -1(4928 + -2384x + 429x2 + -34x3 + x4) = (x + -8)(x + -3)(x + -11)(x + -6)
3872 + -4092x + 1011x2 + -94x3 + 3x4 + (4928 * -1 + -2384x * -1 + 429x2 * -1 + -34x3 * -1 + x4 * -1) = (x + -8)(x + -3)(x + -11)(x + -6)
3872 + -4092x + 1011x2 + -94x3 + 3x4 + (-4928 + 2384x + -429x2 + 34x3 + -1x4) = (x + -8)(x + -3)(x + -11)(x + -6)

Reorder the terms:
3872 + -4928 + -4092x + 2384x + 1011x2 + -429x2 + -94x3 + 34x3 + 3x4 + -1x4 = (x + -8)(x + -3)(x + -11)(x + -6)

Combine like terms: 3872 + -4928 = -1056
-1056 + -4092x + 2384x + 1011x2 + -429x2 + -94x3 + 34x3 + 3x4 + -1x4 = (x + -8)(x + -3)(x + -11)(x + -6)

Combine like terms: -4092x + 2384x = -1708x
-1056 + -1708x + 1011x2 + -429x2 + -94x3 + 34x3 + 3x4 + -1x4 = (x + -8)(x + -3)(x + -11)(x + -6)

Combine like terms: 1011x2 + -429x2 = 582x2
-1056 + -1708x + 582x2 + -94x3 + 34x3 + 3x4 + -1x4 = (x + -8)(x + -3)(x + -11)(x + -6)

Combine like terms: -94x3 + 34x3 = -60x3
-1056 + -1708x + 582x2 + -60x3 + 3x4 + -1x4 = (x + -8)(x + -3)(x + -11)(x + -6)

Combine like terms: 3x4 + -1x4 = 2x4
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (x + -8)(x + -3)(x + -11)(x + -6)

Reorder the terms:
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (-8 + x)(x + -3)(x + -11)(x + -6)

Reorder the terms:
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (-8 + x)(-3 + x)(x + -11)(x + -6)

Reorder the terms:
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (-8 + x)(-3 + x)(-11 + x)(x + -6)

Reorder the terms:
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (-8 + x)(-3 + x)(-11 + x)(-6 + x)

Multiply (-8 + x) * (-3 + x)
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (-8(-3 + x) + x(-3 + x))(-11 + x)(-6 + x)
-1056 + -1708x + 582x2 + -60x3 + 2x4 = ((-3 * -8 + x * -8) + x(-3 + x))(-11 + x)(-6 + x)
-1056 + -1708x + 582x2 + -60x3 + 2x4 = ((24 + -8x) + x(-3 + x))(-11 + x)(-6 + x)
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (24 + -8x + (-3 * x + x * x))(-11 + x)(-6 + x)
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (24 + -8x + (-3x + x2))(-11 + x)(-6 + x)

Combine like terms: -8x + -3x = -11x
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (24 + -11x + x2)(-11 + x)(-6 + x)

Multiply (24 + -11x + x2) * (-11 + x)
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (24(-11 + x) + -11x * (-11 + x) + x2(-11 + x))(-6 + x)
-1056 + -1708x + 582x2 + -60x3 + 2x4 = ((-11 * 24 + x * 24) + -11x * (-11 + x) + x2(-11 + x))(-6 + x)
-1056 + -1708x + 582x2 + -60x3 + 2x4 = ((-264 + 24x) + -11x * (-11 + x) + x2(-11 + x))(-6 + x)
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (-264 + 24x + (-11 * -11x + x * -11x) + x2(-11 + x))(-6 + x)
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (-264 + 24x + (121x + -11x2) + x2(-11 + x))(-6 + x)
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (-264 + 24x + 121x + -11x2 + (-11 * x2 + x * x2))(-6 + x)
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (-264 + 24x + 121x + -11x2 + (-11x2 + x3))(-6 + x)

Combine like terms: 24x + 121x = 145x
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (-264 + 145x + -11x2 + -11x2 + x3)(-6 + x)

Combine like terms: -11x2 + -11x2 = -22x2
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (-264 + 145x + -22x2 + x3)(-6 + x)

Multiply (-264 + 145x + -22x2 + x3) * (-6 + x)
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (-264(-6 + x) + 145x * (-6 + x) + -22x2 * (-6 + x) + x3(-6 + x))
-1056 + -1708x + 582x2 + -60x3 + 2x4 = ((-6 * -264 + x * -264) + 145x * (-6 + x) + -22x2 * (-6 + x) + x3(-6 + x))
-1056 + -1708x + 582x2 + -60x3 + 2x4 = ((1584 + -264x) + 145x * (-6 + x) + -22x2 * (-6 + x) + x3(-6 + x))
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (1584 + -264x + (-6 * 145x + x * 145x) + -22x2 * (-6 + x) + x3(-6 + x))
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (1584 + -264x + (-870x + 145x2) + -22x2 * (-6 + x) + x3(-6 + x))
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (1584 + -264x + -870x + 145x2 + (-6 * -22x2 + x * -22x2) + x3(-6 + x))
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (1584 + -264x + -870x + 145x2 + (132x2 + -22x3) + x3(-6 + x))
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (1584 + -264x + -870x + 145x2 + 132x2 + -22x3 + (-6 * x3 + x * x3))
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (1584 + -264x + -870x + 145x2 + 132x2 + -22x3 + (-6x3 + x4))

Combine like terms: -264x + -870x = -1134x
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (1584 + -1134x + 145x2 + 132x2 + -22x3 + -6x3 + x4)

Combine like terms: 145x2 + 132x2 = 277x2
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (1584 + -1134x + 277x2 + -22x3 + -6x3 + x4)

Combine like terms: -22x3 + -6x3 = -28x3
-1056 + -1708x + 582x2 + -60x3 + 2x4 = (1584 + -1134x + 277x2 + -28x3 + x4)

Solving
-1056 + -1708x + 582x2 + -60x3 + 2x4 = 1584 + -1134x + 277x2 + -28x3 + x4

Solving for variable 'x'.

Reorder the terms:
-1056 + -1584 + -1708x + 1134x + 582x2 + -277x2 + -60x3 + 28x3 + 2x4 + -1x4 = 1584 + -1134x + 277x2 + -28x3 + x4 + -1584 + 1134x + -277x2 + 28x3 + -1x4

Combine like terms: -1056 + -1584 = -2640
-2640 + -1708x + 1134x + 582x2 + -277x2 + -60x3 + 28x3 + 2x4 + -1x4 = 1584 + -1134x + 277x2 + -28x3 + x4 + -1584 + 1134x + -277x2 + 28x3 + -1x4

Combine like terms: -1708x + 1134x = -574x
-2640 + -574x + 582x2 + -277x2 + -60x3 + 28x3 + 2x4 + -1x4 = 1584 + -1134x + 277x2 + -28x3 + x4 + -1584 + 1134x + -277x2 + 28x3 + -1x4

Combine like terms: 582x2 + -277x2 = 305x2
-2640 + -574x + 305x2 + -60x3 + 28x3 + 2x4 + -1x4 = 1584 + -1134x + 277x2 + -28x3 + x4 + -1584 + 1134x + -277x2 + 28x3 + -1x4

Combine like terms: -60x3 + 28x3 = -32x3
-2640 + -574x + 305x2 + -32x3 + 2x4 + -1x4 = 1584 + -1134x + 277x2 + -28x3 + x4 + -1584 + 1134x + -277x2 + 28x3 + -1x4

Combine like terms: 2x4 + -1x4 = 1x4
-2640 + -574x + 305x2 + -32x3 + 1x4 = 1584 + -1134x + 277x2 + -28x3 + x4 + -1584 + 1134x + -277x2 + 28x3 + -1x4

Reorder the terms:
-2640 + -574x + 305x2 + -32x3 + 1x4 = 1584 + -1584 + -1134x + 1134x + 277x2 + -277x2 + -28x3 + 28x3 + x4 + -1x4

Combine like terms: 1584 + -1584 = 0
-2640 + -574x + 305x2 + -32x3 + 1x4 = 0 + -1134x + 1134x + 277x2 + -277x2 + -28x3 + 28x3 + x4 + -1x4
-2640 + -574x + 305x2 + -32x3 + 1x4 = -1134x + 1134x + 277x2 + -277x2 + -28x3 + 28x3 + x4 + -1x4

Combine like terms: -1134x + 1134x = 0
-2640 + -574x + 305x2 + -32x3 + 1x4 = 0 + 277x2 + -277x2 + -28x3 + 28x3 + x4 + -1x4
-2640 + -574x + 305x2 + -32x3 + 1x4 = 277x2 + -277x2 + -28x3 + 28x3 + x4 + -1x4

Combine like terms: 277x2 + -277x2 = 0
-2640 + -574x + 305x2 + -32x3 + 1x4 = 0 + -28x3 + 28x3 + x4 + -1x4
-2640 + -574x + 305x2 + -32x3 + 1x4 = -28x3 + 28x3 + x4 + -1x4

Combine like terms: -28x3 + 28x3 = 0
-2640 + -574x + 305x2 + -32x3 + 1x4 = 0 + x4 + -1x4
-2640 + -574x + 305x2 + -32x3 + 1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-2640 + -574x + 305x2 + -32x3 + 1x4 = 0

The solution to this equation could not be determined.

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