(x-1)(x-3)(x-5)(x-7)=20

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Solution for (x-1)(x-3)(x-5)(x-7)=20 equation: 


Simplifying
(x + -1)(x + -3)(x + -5)(x + -7) = 20

Reorder the terms:
(-1 + x)(x + -3)(x + -5)(x + -7) = 20

Reorder the terms:
(-1 + x)(-3 + x)(x + -5)(x + -7) = 20

Reorder the terms:
(-1 + x)(-3 + x)(-5 + x)(x + -7) = 20

Reorder the terms:
(-1 + x)(-3 + x)(-5 + x)(-7 + x) = 20

Multiply (-1 + x) * (-3 + x)
(-1(-3 + x) + x(-3 + x))(-5 + x)(-7 + x) = 20
((-3 * -1 + x * -1) + x(-3 + x))(-5 + x)(-7 + x) = 20
((3 + -1x) + x(-3 + x))(-5 + x)(-7 + x) = 20
(3 + -1x + (-3 * x + x * x))(-5 + x)(-7 + x) = 20
(3 + -1x + (-3x + x2))(-5 + x)(-7 + x) = 20

Combine like terms: -1x + -3x = -4x
(3 + -4x + x2)(-5 + x)(-7 + x) = 20

Multiply (3 + -4x + x2) * (-5 + x)
(3(-5 + x) + -4x * (-5 + x) + x2(-5 + x))(-7 + x) = 20
((-5 * 3 + x * 3) + -4x * (-5 + x) + x2(-5 + x))(-7 + x) = 20
((-15 + 3x) + -4x * (-5 + x) + x2(-5 + x))(-7 + x) = 20
(-15 + 3x + (-5 * -4x + x * -4x) + x2(-5 + x))(-7 + x) = 20
(-15 + 3x + (20x + -4x2) + x2(-5 + x))(-7 + x) = 20
(-15 + 3x + 20x + -4x2 + (-5 * x2 + x * x2))(-7 + x) = 20
(-15 + 3x + 20x + -4x2 + (-5x2 + x3))(-7 + x) = 20

Combine like terms: 3x + 20x = 23x
(-15 + 23x + -4x2 + -5x2 + x3)(-7 + x) = 20

Combine like terms: -4x2 + -5x2 = -9x2
(-15 + 23x + -9x2 + x3)(-7 + x) = 20

Multiply (-15 + 23x + -9x2 + x3) * (-7 + x)
(-15(-7 + x) + 23x * (-7 + x) + -9x2 * (-7 + x) + x3(-7 + x)) = 20
((-7 * -15 + x * -15) + 23x * (-7 + x) + -9x2 * (-7 + x) + x3(-7 + x)) = 20
((105 + -15x) + 23x * (-7 + x) + -9x2 * (-7 + x) + x3(-7 + x)) = 20
(105 + -15x + (-7 * 23x + x * 23x) + -9x2 * (-7 + x) + x3(-7 + x)) = 20
(105 + -15x + (-161x + 23x2) + -9x2 * (-7 + x) + x3(-7 + x)) = 20
(105 + -15x + -161x + 23x2 + (-7 * -9x2 + x * -9x2) + x3(-7 + x)) = 20
(105 + -15x + -161x + 23x2 + (63x2 + -9x3) + x3(-7 + x)) = 20
(105 + -15x + -161x + 23x2 + 63x2 + -9x3 + (-7 * x3 + x * x3)) = 20
(105 + -15x + -161x + 23x2 + 63x2 + -9x3 + (-7x3 + x4)) = 20

Combine like terms: -15x + -161x = -176x
(105 + -176x + 23x2 + 63x2 + -9x3 + -7x3 + x4) = 20

Combine like terms: 23x2 + 63x2 = 86x2
(105 + -176x + 86x2 + -9x3 + -7x3 + x4) = 20

Combine like terms: -9x3 + -7x3 = -16x3
(105 + -176x + 86x2 + -16x3 + x4) = 20

Solving
105 + -176x + 86x2 + -16x3 + x4 = 20

Solving for variable 'x'.

Reorder the terms:
105 + -20 + -176x + 86x2 + -16x3 + x4 = 20 + -20

Combine like terms: 105 + -20 = 85
85 + -176x + 86x2 + -16x3 + x4 = 20 + -20

Combine like terms: 20 + -20 = 0
85 + -176x + 86x2 + -16x3 + x4 = 0

The solution to this equation could not be determined.

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