(x-1)(x+2)(x-7)(x-4)=40

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Solution for (x-1)(x+2)(x-7)(x-4)=40 equation: 


Simplifying
(x + -1)(x + 2)(x + -7)(x + -4) = 40

Reorder the terms:
(-1 + x)(x + 2)(x + -7)(x + -4) = 40

Reorder the terms:
(-1 + x)(2 + x)(x + -7)(x + -4) = 40

Reorder the terms:
(-1 + x)(2 + x)(-7 + x)(x + -4) = 40

Reorder the terms:
(-1 + x)(2 + x)(-7 + x)(-4 + x) = 40

Multiply (-1 + x) * (2 + x)
(-1(2 + x) + x(2 + x))(-7 + x)(-4 + x) = 40
((2 * -1 + x * -1) + x(2 + x))(-7 + x)(-4 + x) = 40
((-2 + -1x) + x(2 + x))(-7 + x)(-4 + x) = 40
(-2 + -1x + (2 * x + x * x))(-7 + x)(-4 + x) = 40
(-2 + -1x + (2x + x2))(-7 + x)(-4 + x) = 40

Combine like terms: -1x + 2x = 1x
(-2 + 1x + x2)(-7 + x)(-4 + x) = 40

Multiply (-2 + 1x + x2) * (-7 + x)
(-2(-7 + x) + 1x * (-7 + x) + x2(-7 + x))(-4 + x) = 40
((-7 * -2 + x * -2) + 1x * (-7 + x) + x2(-7 + x))(-4 + x) = 40
((14 + -2x) + 1x * (-7 + x) + x2(-7 + x))(-4 + x) = 40
(14 + -2x + (-7 * 1x + x * 1x) + x2(-7 + x))(-4 + x) = 40
(14 + -2x + (-7x + 1x2) + x2(-7 + x))(-4 + x) = 40
(14 + -2x + -7x + 1x2 + (-7 * x2 + x * x2))(-4 + x) = 40
(14 + -2x + -7x + 1x2 + (-7x2 + x3))(-4 + x) = 40

Combine like terms: -2x + -7x = -9x
(14 + -9x + 1x2 + -7x2 + x3)(-4 + x) = 40

Combine like terms: 1x2 + -7x2 = -6x2
(14 + -9x + -6x2 + x3)(-4 + x) = 40

Multiply (14 + -9x + -6x2 + x3) * (-4 + x)
(14(-4 + x) + -9x * (-4 + x) + -6x2 * (-4 + x) + x3(-4 + x)) = 40
((-4 * 14 + x * 14) + -9x * (-4 + x) + -6x2 * (-4 + x) + x3(-4 + x)) = 40
((-56 + 14x) + -9x * (-4 + x) + -6x2 * (-4 + x) + x3(-4 + x)) = 40
(-56 + 14x + (-4 * -9x + x * -9x) + -6x2 * (-4 + x) + x3(-4 + x)) = 40
(-56 + 14x + (36x + -9x2) + -6x2 * (-4 + x) + x3(-4 + x)) = 40
(-56 + 14x + 36x + -9x2 + (-4 * -6x2 + x * -6x2) + x3(-4 + x)) = 40
(-56 + 14x + 36x + -9x2 + (24x2 + -6x3) + x3(-4 + x)) = 40
(-56 + 14x + 36x + -9x2 + 24x2 + -6x3 + (-4 * x3 + x * x3)) = 40
(-56 + 14x + 36x + -9x2 + 24x2 + -6x3 + (-4x3 + x4)) = 40

Combine like terms: 14x + 36x = 50x
(-56 + 50x + -9x2 + 24x2 + -6x3 + -4x3 + x4) = 40

Combine like terms: -9x2 + 24x2 = 15x2
(-56 + 50x + 15x2 + -6x3 + -4x3 + x4) = 40

Combine like terms: -6x3 + -4x3 = -10x3
(-56 + 50x + 15x2 + -10x3 + x4) = 40

Solving
-56 + 50x + 15x2 + -10x3 + x4 = 40

Solving for variable 'x'.

Reorder the terms:
-56 + -40 + 50x + 15x2 + -10x3 + x4 = 40 + -40

Combine like terms: -56 + -40 = -96
-96 + 50x + 15x2 + -10x3 + x4 = 40 + -40

Combine like terms: 40 + -40 = 0
-96 + 50x + 15x2 + -10x3 + x4 = 0

The solution to this equation could not be determined.

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