(x^2-4x+4)(x-2)=5

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Solution for (x^2-4x+4)(x-2)=5 equation: 


Simplifying
(x2 + -4x + 4)(x + -2) = 5

Reorder the terms:
(4 + -4x + x2)(x + -2) = 5

Reorder the terms:
(4 + -4x + x2)(-2 + x) = 5

Multiply (4 + -4x + x2) * (-2 + x)
(4(-2 + x) + -4x * (-2 + x) + x2(-2 + x)) = 5
((-2 * 4 + x * 4) + -4x * (-2 + x) + x2(-2 + x)) = 5
((-8 + 4x) + -4x * (-2 + x) + x2(-2 + x)) = 5
(-8 + 4x + (-2 * -4x + x * -4x) + x2(-2 + x)) = 5
(-8 + 4x + (8x + -4x2) + x2(-2 + x)) = 5
(-8 + 4x + 8x + -4x2 + (-2 * x2 + x * x2)) = 5
(-8 + 4x + 8x + -4x2 + (-2x2 + x3)) = 5

Combine like terms: 4x + 8x = 12x
(-8 + 12x + -4x2 + -2x2 + x3) = 5

Combine like terms: -4x2 + -2x2 = -6x2
(-8 + 12x + -6x2 + x3) = 5

Solving
-8 + 12x + -6x2 + x3 = 5

Solving for variable 'x'.

Reorder the terms:
-8 + -5 + 12x + -6x2 + x3 = 5 + -5

Combine like terms: -8 + -5 = -13
-13 + 12x + -6x2 + x3 = 5 + -5

Combine like terms: 5 + -5 = 0
-13 + 12x + -6x2 + x3 = 0

The solution to this equation could not be determined.

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