36=(2x-2)(x-2)(x-1)

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Solution for 36=(2x-2)(x-2)(x-1) equation: 


Simplifying
36 = (2x + -2)(x + -2)(x + -1)

Reorder the terms:
36 = (-2 + 2x)(x + -2)(x + -1)

Reorder the terms:
36 = (-2 + 2x)(-2 + x)(x + -1)

Reorder the terms:
36 = (-2 + 2x)(-2 + x)(-1 + x)

Multiply (-2 + 2x) * (-2 + x)
36 = (-2(-2 + x) + 2x * (-2 + x))(-1 + x)
36 = ((-2 * -2 + x * -2) + 2x * (-2 + x))(-1 + x)
36 = ((4 + -2x) + 2x * (-2 + x))(-1 + x)
36 = (4 + -2x + (-2 * 2x + x * 2x))(-1 + x)
36 = (4 + -2x + (-4x + 2x2))(-1 + x)

Combine like terms: -2x + -4x = -6x
36 = (4 + -6x + 2x2)(-1 + x)

Multiply (4 + -6x + 2x2) * (-1 + x)
36 = (4(-1 + x) + -6x * (-1 + x) + 2x2 * (-1 + x))
36 = ((-1 * 4 + x * 4) + -6x * (-1 + x) + 2x2 * (-1 + x))
36 = ((-4 + 4x) + -6x * (-1 + x) + 2x2 * (-1 + x))
36 = (-4 + 4x + (-1 * -6x + x * -6x) + 2x2 * (-1 + x))
36 = (-4 + 4x + (6x + -6x2) + 2x2 * (-1 + x))
36 = (-4 + 4x + 6x + -6x2 + (-1 * 2x2 + x * 2x2))
36 = (-4 + 4x + 6x + -6x2 + (-2x2 + 2x3))

Combine like terms: 4x + 6x = 10x
36 = (-4 + 10x + -6x2 + -2x2 + 2x3)

Combine like terms: -6x2 + -2x2 = -8x2
36 = (-4 + 10x + -8x2 + 2x3)

Solving
36 = -4 + 10x + -8x2 + 2x3

Solving for variable 'x'.

Combine like terms: 36 + 4 = 40
40 + -10x + 8x2 + -2x3 = -4 + 10x + -8x2 + 2x3 + 4 + -10x + 8x2 + -2x3

Reorder the terms:
40 + -10x + 8x2 + -2x3 = -4 + 4 + 10x + -10x + -8x2 + 8x2 + 2x3 + -2x3

Combine like terms: -4 + 4 = 0
40 + -10x + 8x2 + -2x3 = 0 + 10x + -10x + -8x2 + 8x2 + 2x3 + -2x3
40 + -10x + 8x2 + -2x3 = 10x + -10x + -8x2 + 8x2 + 2x3 + -2x3

Combine like terms: 10x + -10x = 0
40 + -10x + 8x2 + -2x3 = 0 + -8x2 + 8x2 + 2x3 + -2x3
40 + -10x + 8x2 + -2x3 = -8x2 + 8x2 + 2x3 + -2x3

Combine like terms: -8x2 + 8x2 = 0
40 + -10x + 8x2 + -2x3 = 0 + 2x3 + -2x3
40 + -10x + 8x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
40 + -10x + 8x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + -5x + 4x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(20 + -5x + 4x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
20 + -5x + 4x2 + -1x3 = 0

Solving
20 + -5x + 4x2 + -1x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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