(x-2)(x-2)(x-2)(x-2)=-40

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Solution for (x-2)(x-2)(x-2)(x-2)=-40 equation:


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

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

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

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

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

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

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

Multiply (4 + -4x + x2) * (-2 + x)
(4(-2 + x) + -4x * (-2 + x) + x2(-2 + x))(-2 + x) = -40
((-2 * 4 + x * 4) + -4x * (-2 + x) + x2(-2 + x))(-2 + x) = -40
((-8 + 4x) + -4x * (-2 + x) + x2(-2 + x))(-2 + x) = -40
(-8 + 4x + (-2 * -4x + x * -4x) + x2(-2 + x))(-2 + x) = -40
(-8 + 4x + (8x + -4x2) + x2(-2 + x))(-2 + x) = -40
(-8 + 4x + 8x + -4x2 + (-2 * x2 + x * x2))(-2 + x) = -40
(-8 + 4x + 8x + -4x2 + (-2x2 + x3))(-2 + x) = -40

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

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

Multiply (-8 + 12x + -6x2 + x3) * (-2 + x)
(-8(-2 + x) + 12x * (-2 + x) + -6x2 * (-2 + x) + x3(-2 + x)) = -40
((-2 * -8 + x * -8) + 12x * (-2 + x) + -6x2 * (-2 + x) + x3(-2 + x)) = -40
((16 + -8x) + 12x * (-2 + x) + -6x2 * (-2 + x) + x3(-2 + x)) = -40
(16 + -8x + (-2 * 12x + x * 12x) + -6x2 * (-2 + x) + x3(-2 + x)) = -40
(16 + -8x + (-24x + 12x2) + -6x2 * (-2 + x) + x3(-2 + x)) = -40
(16 + -8x + -24x + 12x2 + (-2 * -6x2 + x * -6x2) + x3(-2 + x)) = -40
(16 + -8x + -24x + 12x2 + (12x2 + -6x3) + x3(-2 + x)) = -40
(16 + -8x + -24x + 12x2 + 12x2 + -6x3 + (-2 * x3 + x * x3)) = -40
(16 + -8x + -24x + 12x2 + 12x2 + -6x3 + (-2x3 + x4)) = -40

Combine like terms: -8x + -24x = -32x
(16 + -32x + 12x2 + 12x2 + -6x3 + -2x3 + x4) = -40

Combine like terms: 12x2 + 12x2 = 24x2
(16 + -32x + 24x2 + -6x3 + -2x3 + x4) = -40

Combine like terms: -6x3 + -2x3 = -8x3
(16 + -32x + 24x2 + -8x3 + x4) = -40

Solving
16 + -32x + 24x2 + -8x3 + x4 = -40

Solving for variable 'x'.

Reorder the terms:
16 + 40 + -32x + 24x2 + -8x3 + x4 = -40 + 40

Combine like terms: 16 + 40 = 56
56 + -32x + 24x2 + -8x3 + x4 = -40 + 40

Combine like terms: -40 + 40 = 0
56 + -32x + 24x2 + -8x3 + x4 = 0

The solution to this equation could not be determined.

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