(x-1)(x-3)(x-7)(x-9)+20=0

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Solution for (x-1)(x-3)(x-7)(x-9)+20=0 equation:


Simplifying
(x + -1)(x + -3)(x + -7)(x + -9) + 20 = 0

Reorder the terms:
(-1 + x)(x + -3)(x + -7)(x + -9) + 20 = 0

Reorder the terms:
(-1 + x)(-3 + x)(x + -7)(x + -9) + 20 = 0

Reorder the terms:
(-1 + x)(-3 + x)(-7 + x)(x + -9) + 20 = 0

Reorder the terms:
(-1 + x)(-3 + x)(-7 + x)(-9 + x) + 20 = 0

Multiply (-1 + x) * (-3 + x)
(-1(-3 + x) + x(-3 + x))(-7 + x)(-9 + x) + 20 = 0
((-3 * -1 + x * -1) + x(-3 + x))(-7 + x)(-9 + x) + 20 = 0
((3 + -1x) + x(-3 + x))(-7 + x)(-9 + x) + 20 = 0
(3 + -1x + (-3 * x + x * x))(-7 + x)(-9 + x) + 20 = 0
(3 + -1x + (-3x + x2))(-7 + x)(-9 + x) + 20 = 0

Combine like terms: -1x + -3x = -4x
(3 + -4x + x2)(-7 + x)(-9 + x) + 20 = 0

Multiply (3 + -4x + x2) * (-7 + x)
(3(-7 + x) + -4x * (-7 + x) + x2(-7 + x))(-9 + x) + 20 = 0
((-7 * 3 + x * 3) + -4x * (-7 + x) + x2(-7 + x))(-9 + x) + 20 = 0
((-21 + 3x) + -4x * (-7 + x) + x2(-7 + x))(-9 + x) + 20 = 0
(-21 + 3x + (-7 * -4x + x * -4x) + x2(-7 + x))(-9 + x) + 20 = 0
(-21 + 3x + (28x + -4x2) + x2(-7 + x))(-9 + x) + 20 = 0
(-21 + 3x + 28x + -4x2 + (-7 * x2 + x * x2))(-9 + x) + 20 = 0
(-21 + 3x + 28x + -4x2 + (-7x2 + x3))(-9 + x) + 20 = 0

Combine like terms: 3x + 28x = 31x
(-21 + 31x + -4x2 + -7x2 + x3)(-9 + x) + 20 = 0

Combine like terms: -4x2 + -7x2 = -11x2
(-21 + 31x + -11x2 + x3)(-9 + x) + 20 = 0

Multiply (-21 + 31x + -11x2 + x3) * (-9 + x)
(-21(-9 + x) + 31x * (-9 + x) + -11x2 * (-9 + x) + x3(-9 + x)) + 20 = 0
((-9 * -21 + x * -21) + 31x * (-9 + x) + -11x2 * (-9 + x) + x3(-9 + x)) + 20 = 0
((189 + -21x) + 31x * (-9 + x) + -11x2 * (-9 + x) + x3(-9 + x)) + 20 = 0
(189 + -21x + (-9 * 31x + x * 31x) + -11x2 * (-9 + x) + x3(-9 + x)) + 20 = 0
(189 + -21x + (-279x + 31x2) + -11x2 * (-9 + x) + x3(-9 + x)) + 20 = 0
(189 + -21x + -279x + 31x2 + (-9 * -11x2 + x * -11x2) + x3(-9 + x)) + 20 = 0
(189 + -21x + -279x + 31x2 + (99x2 + -11x3) + x3(-9 + x)) + 20 = 0
(189 + -21x + -279x + 31x2 + 99x2 + -11x3 + (-9 * x3 + x * x3)) + 20 = 0
(189 + -21x + -279x + 31x2 + 99x2 + -11x3 + (-9x3 + x4)) + 20 = 0

Combine like terms: -21x + -279x = -300x
(189 + -300x + 31x2 + 99x2 + -11x3 + -9x3 + x4) + 20 = 0

Combine like terms: 31x2 + 99x2 = 130x2
(189 + -300x + 130x2 + -11x3 + -9x3 + x4) + 20 = 0

Combine like terms: -11x3 + -9x3 = -20x3
(189 + -300x + 130x2 + -20x3 + x4) + 20 = 0

Reorder the terms:
189 + 20 + -300x + 130x2 + -20x3 + x4 = 0

Combine like terms: 189 + 20 = 209
209 + -300x + 130x2 + -20x3 + x4 = 0

Solving
209 + -300x + 130x2 + -20x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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