(x-9)(x-7)(x-5)(x-1)=(x-2)(x-4)(x-6)(x-10)

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Solution for (x-9)(x-7)(x-5)(x-1)=(x-2)(x-4)(x-6)(x-10) equation: 


Simplifying
(x + -9)(x + -7)(x + -5)(x + -1) = (x + -2)(x + -4)(x + -6)(x + -10)

Reorder the terms:
(-9 + x)(x + -7)(x + -5)(x + -1) = (x + -2)(x + -4)(x + -6)(x + -10)

Reorder the terms:
(-9 + x)(-7 + x)(x + -5)(x + -1) = (x + -2)(x + -4)(x + -6)(x + -10)

Reorder the terms:
(-9 + x)(-7 + x)(-5 + x)(x + -1) = (x + -2)(x + -4)(x + -6)(x + -10)

Reorder the terms:
(-9 + x)(-7 + x)(-5 + x)(-1 + x) = (x + -2)(x + -4)(x + -6)(x + -10)

Multiply (-9 + x) * (-7 + x)
(-9(-7 + x) + x(-7 + x))(-5 + x)(-1 + x) = (x + -2)(x + -4)(x + -6)(x + -10)
((-7 * -9 + x * -9) + x(-7 + x))(-5 + x)(-1 + x) = (x + -2)(x + -4)(x + -6)(x + -10)
((63 + -9x) + x(-7 + x))(-5 + x)(-1 + x) = (x + -2)(x + -4)(x + -6)(x + -10)
(63 + -9x + (-7 * x + x * x))(-5 + x)(-1 + x) = (x + -2)(x + -4)(x + -6)(x + -10)
(63 + -9x + (-7x + x2))(-5 + x)(-1 + x) = (x + -2)(x + -4)(x + -6)(x + -10)

Combine like terms: -9x + -7x = -16x
(63 + -16x + x2)(-5 + x)(-1 + x) = (x + -2)(x + -4)(x + -6)(x + -10)

Multiply (63 + -16x + x2) * (-5 + x)
(63(-5 + x) + -16x * (-5 + x) + x2(-5 + x))(-1 + x) = (x + -2)(x + -4)(x + -6)(x + -10)
((-5 * 63 + x * 63) + -16x * (-5 + x) + x2(-5 + x))(-1 + x) = (x + -2)(x + -4)(x + -6)(x + -10)
((-315 + 63x) + -16x * (-5 + x) + x2(-5 + x))(-1 + x) = (x + -2)(x + -4)(x + -6)(x + -10)
(-315 + 63x + (-5 * -16x + x * -16x) + x2(-5 + x))(-1 + x) = (x + -2)(x + -4)(x + -6)(x + -10)
(-315 + 63x + (80x + -16x2) + x2(-5 + x))(-1 + x) = (x + -2)(x + -4)(x + -6)(x + -10)
(-315 + 63x + 80x + -16x2 + (-5 * x2 + x * x2))(-1 + x) = (x + -2)(x + -4)(x + -6)(x + -10)
(-315 + 63x + 80x + -16x2 + (-5x2 + x3))(-1 + x) = (x + -2)(x + -4)(x + -6)(x + -10)

Combine like terms: 63x + 80x = 143x
(-315 + 143x + -16x2 + -5x2 + x3)(-1 + x) = (x + -2)(x + -4)(x + -6)(x + -10)

Combine like terms: -16x2 + -5x2 = -21x2
(-315 + 143x + -21x2 + x3)(-1 + x) = (x + -2)(x + -4)(x + -6)(x + -10)

Multiply (-315 + 143x + -21x2 + x3) * (-1 + x)
(-315(-1 + x) + 143x * (-1 + x) + -21x2 * (-1 + x) + x3(-1 + x)) = (x + -2)(x + -4)(x + -6)(x + -10)
((-1 * -315 + x * -315) + 143x * (-1 + x) + -21x2 * (-1 + x) + x3(-1 + x)) = (x + -2)(x + -4)(x + -6)(x + -10)
((315 + -315x) + 143x * (-1 + x) + -21x2 * (-1 + x) + x3(-1 + x)) = (x + -2)(x + -4)(x + -6)(x + -10)
(315 + -315x + (-1 * 143x + x * 143x) + -21x2 * (-1 + x) + x3(-1 + x)) = (x + -2)(x + -4)(x + -6)(x + -10)
(315 + -315x + (-143x + 143x2) + -21x2 * (-1 + x) + x3(-1 + x)) = (x + -2)(x + -4)(x + -6)(x + -10)
(315 + -315x + -143x + 143x2 + (-1 * -21x2 + x * -21x2) + x3(-1 + x)) = (x + -2)(x + -4)(x + -6)(x + -10)
(315 + -315x + -143x + 143x2 + (21x2 + -21x3) + x3(-1 + x)) = (x + -2)(x + -4)(x + -6)(x + -10)
(315 + -315x + -143x + 143x2 + 21x2 + -21x3 + (-1 * x3 + x * x3)) = (x + -2)(x + -4)(x + -6)(x + -10)
(315 + -315x + -143x + 143x2 + 21x2 + -21x3 + (-1x3 + x4)) = (x + -2)(x + -4)(x + -6)(x + -10)

Combine like terms: -315x + -143x = -458x
(315 + -458x + 143x2 + 21x2 + -21x3 + -1x3 + x4) = (x + -2)(x + -4)(x + -6)(x + -10)

Combine like terms: 143x2 + 21x2 = 164x2
(315 + -458x + 164x2 + -21x3 + -1x3 + x4) = (x + -2)(x + -4)(x + -6)(x + -10)

Combine like terms: -21x3 + -1x3 = -22x3
(315 + -458x + 164x2 + -22x3 + x4) = (x + -2)(x + -4)(x + -6)(x + -10)

Reorder the terms:
315 + -458x + 164x2 + -22x3 + x4 = (-2 + x)(x + -4)(x + -6)(x + -10)

Reorder the terms:
315 + -458x + 164x2 + -22x3 + x4 = (-2 + x)(-4 + x)(x + -6)(x + -10)

Reorder the terms:
315 + -458x + 164x2 + -22x3 + x4 = (-2 + x)(-4 + x)(-6 + x)(x + -10)

Reorder the terms:
315 + -458x + 164x2 + -22x3 + x4 = (-2 + x)(-4 + x)(-6 + x)(-10 + x)

Multiply (-2 + x) * (-4 + x)
315 + -458x + 164x2 + -22x3 + x4 = (-2(-4 + x) + x(-4 + x))(-6 + x)(-10 + x)
315 + -458x + 164x2 + -22x3 + x4 = ((-4 * -2 + x * -2) + x(-4 + x))(-6 + x)(-10 + x)
315 + -458x + 164x2 + -22x3 + x4 = ((8 + -2x) + x(-4 + x))(-6 + x)(-10 + x)
315 + -458x + 164x2 + -22x3 + x4 = (8 + -2x + (-4 * x + x * x))(-6 + x)(-10 + x)
315 + -458x + 164x2 + -22x3 + x4 = (8 + -2x + (-4x + x2))(-6 + x)(-10 + x)

Combine like terms: -2x + -4x = -6x
315 + -458x + 164x2 + -22x3 + x4 = (8 + -6x + x2)(-6 + x)(-10 + x)

Multiply (8 + -6x + x2) * (-6 + x)
315 + -458x + 164x2 + -22x3 + x4 = (8(-6 + x) + -6x * (-6 + x) + x2(-6 + x))(-10 + x)
315 + -458x + 164x2 + -22x3 + x4 = ((-6 * 8 + x * 8) + -6x * (-6 + x) + x2(-6 + x))(-10 + x)
315 + -458x + 164x2 + -22x3 + x4 = ((-48 + 8x) + -6x * (-6 + x) + x2(-6 + x))(-10 + x)
315 + -458x + 164x2 + -22x3 + x4 = (-48 + 8x + (-6 * -6x + x * -6x) + x2(-6 + x))(-10 + x)
315 + -458x + 164x2 + -22x3 + x4 = (-48 + 8x + (36x + -6x2) + x2(-6 + x))(-10 + x)
315 + -458x + 164x2 + -22x3 + x4 = (-48 + 8x + 36x + -6x2 + (-6 * x2 + x * x2))(-10 + x)
315 + -458x + 164x2 + -22x3 + x4 = (-48 + 8x + 36x + -6x2 + (-6x2 + x3))(-10 + x)

Combine like terms: 8x + 36x = 44x
315 + -458x + 164x2 + -22x3 + x4 = (-48 + 44x + -6x2 + -6x2 + x3)(-10 + x)

Combine like terms: -6x2 + -6x2 = -12x2
315 + -458x + 164x2 + -22x3 + x4 = (-48 + 44x + -12x2 + x3)(-10 + x)

Multiply (-48 + 44x + -12x2 + x3) * (-10 + x)
315 + -458x + 164x2 + -22x3 + x4 = (-48(-10 + x) + 44x * (-10 + x) + -12x2 * (-10 + x) + x3(-10 + x))
315 + -458x + 164x2 + -22x3 + x4 = ((-10 * -48 + x * -48) + 44x * (-10 + x) + -12x2 * (-10 + x) + x3(-10 + x))
315 + -458x + 164x2 + -22x3 + x4 = ((480 + -48x) + 44x * (-10 + x) + -12x2 * (-10 + x) + x3(-10 + x))
315 + -458x + 164x2 + -22x3 + x4 = (480 + -48x + (-10 * 44x + x * 44x) + -12x2 * (-10 + x) + x3(-10 + x))
315 + -458x + 164x2 + -22x3 + x4 = (480 + -48x + (-440x + 44x2) + -12x2 * (-10 + x) + x3(-10 + x))
315 + -458x + 164x2 + -22x3 + x4 = (480 + -48x + -440x + 44x2 + (-10 * -12x2 + x * -12x2) + x3(-10 + x))
315 + -458x + 164x2 + -22x3 + x4 = (480 + -48x + -440x + 44x2 + (120x2 + -12x3) + x3(-10 + x))
315 + -458x + 164x2 + -22x3 + x4 = (480 + -48x + -440x + 44x2 + 120x2 + -12x3 + (-10 * x3 + x * x3))
315 + -458x + 164x2 + -22x3 + x4 = (480 + -48x + -440x + 44x2 + 120x2 + -12x3 + (-10x3 + x4))

Combine like terms: -48x + -440x = -488x
315 + -458x + 164x2 + -22x3 + x4 = (480 + -488x + 44x2 + 120x2 + -12x3 + -10x3 + x4)

Combine like terms: 44x2 + 120x2 = 164x2
315 + -458x + 164x2 + -22x3 + x4 = (480 + -488x + 164x2 + -12x3 + -10x3 + x4)

Combine like terms: -12x3 + -10x3 = -22x3
315 + -458x + 164x2 + -22x3 + x4 = (480 + -488x + 164x2 + -22x3 + x4)

Add '-164x2' to each side of the equation.
315 + -458x + 164x2 + -22x3 + -164x2 + x4 = 480 + -488x + 164x2 + -22x3 + -164x2 + x4

Reorder the terms:
315 + -458x + 164x2 + -164x2 + -22x3 + x4 = 480 + -488x + 164x2 + -22x3 + -164x2 + x4

Combine like terms: 164x2 + -164x2 = 0
315 + -458x + 0 + -22x3 + x4 = 480 + -488x + 164x2 + -22x3 + -164x2 + x4
315 + -458x + -22x3 + x4 = 480 + -488x + 164x2 + -22x3 + -164x2 + x4

Reorder the terms:
315 + -458x + -22x3 + x4 = 480 + -488x + 164x2 + -164x2 + -22x3 + x4

Combine like terms: 164x2 + -164x2 = 0
315 + -458x + -22x3 + x4 = 480 + -488x + 0 + -22x3 + x4
315 + -458x + -22x3 + x4 = 480 + -488x + -22x3 + x4

Add '22x3' to each side of the equation.
315 + -458x + -22x3 + 22x3 + x4 = 480 + -488x + -22x3 + 22x3 + x4

Combine like terms: -22x3 + 22x3 = 0
315 + -458x + 0 + x4 = 480 + -488x + -22x3 + 22x3 + x4
315 + -458x + x4 = 480 + -488x + -22x3 + 22x3 + x4

Combine like terms: -22x3 + 22x3 = 0
315 + -458x + x4 = 480 + -488x + 0 + x4
315 + -458x + x4 = 480 + -488x + x4

Add '-1x4' to each side of the equation.
315 + -458x + x4 + -1x4 = 480 + -488x + x4 + -1x4

Combine like terms: x4 + -1x4 = 0
315 + -458x + 0 = 480 + -488x + x4 + -1x4
315 + -458x = 480 + -488x + x4 + -1x4

Combine like terms: x4 + -1x4 = 0
315 + -458x = 480 + -488x + 0
315 + -458x = 480 + -488x

Solving
315 + -458x = 480 + -488x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '488x' to each side of the equation.
315 + -458x + 488x = 480 + -488x + 488x

Combine like terms: -458x + 488x = 30x
315 + 30x = 480 + -488x + 488x

Combine like terms: -488x + 488x = 0
315 + 30x = 480 + 0
315 + 30x = 480

Add '-315' to each side of the equation.
315 + -315 + 30x = 480 + -315

Combine like terms: 315 + -315 = 0
0 + 30x = 480 + -315
30x = 480 + -315

Combine like terms: 480 + -315 = 165
30x = 165

Divide each side by '30'.
x = 5.5

Simplifying
x = 5.5

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