(x-2)(x+3)(x-2)(x-4)=40

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Solution for (x-2)(x+3)(x-2)(x-4)=40 equation: 


Simplifying
(x + -2)(x + 3)(x + -2)(x + -4) = 40

Reorder the terms:
(-2 + x)(x + 3)(x + -2)(x + -4) = 40

Reorder the terms:
(-2 + x)(3 + x)(x + -2)(x + -4) = 40

Reorder the terms:
(-2 + x)(3 + x)(-2 + x)(x + -4) = 40

Reorder the terms:
(-2 + x)(3 + x)(-2 + x)(-4 + x) = 40

Multiply (-2 + x) * (3 + x)
(-2(3 + x) + x(3 + x))(-2 + x)(-4 + x) = 40
((3 * -2 + x * -2) + x(3 + x))(-2 + x)(-4 + x) = 40
((-6 + -2x) + x(3 + x))(-2 + x)(-4 + x) = 40
(-6 + -2x + (3 * x + x * x))(-2 + x)(-4 + x) = 40
(-6 + -2x + (3x + x2))(-2 + x)(-4 + x) = 40

Combine like terms: -2x + 3x = 1x
(-6 + 1x + x2)(-2 + x)(-4 + x) = 40

Multiply (-6 + 1x + x2) * (-2 + x)
(-6(-2 + x) + 1x * (-2 + x) + x2(-2 + x))(-4 + x) = 40
((-2 * -6 + x * -6) + 1x * (-2 + x) + x2(-2 + x))(-4 + x) = 40
((12 + -6x) + 1x * (-2 + x) + x2(-2 + x))(-4 + x) = 40
(12 + -6x + (-2 * 1x + x * 1x) + x2(-2 + x))(-4 + x) = 40
(12 + -6x + (-2x + 1x2) + x2(-2 + x))(-4 + x) = 40
(12 + -6x + -2x + 1x2 + (-2 * x2 + x * x2))(-4 + x) = 40
(12 + -6x + -2x + 1x2 + (-2x2 + x3))(-4 + x) = 40

Combine like terms: -6x + -2x = -8x
(12 + -8x + 1x2 + -2x2 + x3)(-4 + x) = 40

Combine like terms: 1x2 + -2x2 = -1x2
(12 + -8x + -1x2 + x3)(-4 + x) = 40

Multiply (12 + -8x + -1x2 + x3) * (-4 + x)
(12(-4 + x) + -8x * (-4 + x) + -1x2 * (-4 + x) + x3(-4 + x)) = 40
((-4 * 12 + x * 12) + -8x * (-4 + x) + -1x2 * (-4 + x) + x3(-4 + x)) = 40
((-48 + 12x) + -8x * (-4 + x) + -1x2 * (-4 + x) + x3(-4 + x)) = 40
(-48 + 12x + (-4 * -8x + x * -8x) + -1x2 * (-4 + x) + x3(-4 + x)) = 40
(-48 + 12x + (32x + -8x2) + -1x2 * (-4 + x) + x3(-4 + x)) = 40
(-48 + 12x + 32x + -8x2 + (-4 * -1x2 + x * -1x2) + x3(-4 + x)) = 40
(-48 + 12x + 32x + -8x2 + (4x2 + -1x3) + x3(-4 + x)) = 40
(-48 + 12x + 32x + -8x2 + 4x2 + -1x3 + (-4 * x3 + x * x3)) = 40
(-48 + 12x + 32x + -8x2 + 4x2 + -1x3 + (-4x3 + x4)) = 40

Combine like terms: 12x + 32x = 44x
(-48 + 44x + -8x2 + 4x2 + -1x3 + -4x3 + x4) = 40

Combine like terms: -8x2 + 4x2 = -4x2
(-48 + 44x + -4x2 + -1x3 + -4x3 + x4) = 40

Combine like terms: -1x3 + -4x3 = -5x3
(-48 + 44x + -4x2 + -5x3 + x4) = 40

Solving
-48 + 44x + -4x2 + -5x3 + x4 = 40

Solving for variable 'x'.

Reorder the terms:
-48 + -40 + 44x + -4x2 + -5x3 + x4 = 40 + -40

Combine like terms: -48 + -40 = -88
-88 + 44x + -4x2 + -5x3 + x4 = 40 + -40

Combine like terms: 40 + -40 = 0
-88 + 44x + -4x2 + -5x3 + x4 = 0

The solution to this equation could not be determined.

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