(x-2)(x-2)(x-2)-5=0

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Solution for (x-2)(x-2)(x-2)-5=0 equation: 


Simplifying
(x + -2)(x + -2)(x + -2) + -5 = 0

Reorder the terms:
(-2 + x)(x + -2)(x + -2) + -5 = 0

Reorder the terms:
(-2 + x)(-2 + x)(x + -2) + -5 = 0

Reorder the terms:
(-2 + x)(-2 + x)(-2 + x) + -5 = 0

Multiply (-2 + x) * (-2 + x)
(-2(-2 + x) + x(-2 + x))(-2 + x) + -5 = 0
((-2 * -2 + x * -2) + x(-2 + x))(-2 + x) + -5 = 0
((4 + -2x) + x(-2 + x))(-2 + x) + -5 = 0
(4 + -2x + (-2 * x + x * x))(-2 + x) + -5 = 0
(4 + -2x + (-2x + x2))(-2 + x) + -5 = 0

Combine like terms: -2x + -2x = -4x
(4 + -4x + x2)(-2 + x) + -5 = 0

Multiply (4 + -4x + x2) * (-2 + x)
(4(-2 + x) + -4x * (-2 + x) + x2(-2 + x)) + -5 = 0
((-2 * 4 + x * 4) + -4x * (-2 + x) + x2(-2 + x)) + -5 = 0
((-8 + 4x) + -4x * (-2 + x) + x2(-2 + x)) + -5 = 0
(-8 + 4x + (-2 * -4x + x * -4x) + x2(-2 + x)) + -5 = 0
(-8 + 4x + (8x + -4x2) + x2(-2 + x)) + -5 = 0
(-8 + 4x + 8x + -4x2 + (-2 * x2 + x * x2)) + -5 = 0
(-8 + 4x + 8x + -4x2 + (-2x2 + x3)) + -5 = 0

Combine like terms: 4x + 8x = 12x
(-8 + 12x + -4x2 + -2x2 + x3) + -5 = 0

Combine like terms: -4x2 + -2x2 = -6x2
(-8 + 12x + -6x2 + x3) + -5 = 0

Reorder the terms:
-8 + -5 + 12x + -6x2 + x3 = 0

Combine like terms: -8 + -5 = -13
-13 + 12x + -6x2 + x3 = 0

Solving
-13 + 12x + -6x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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