(2)(x-4)(x-4)(x-4)=54

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Solution for (2)(x-4)(x-4)(x-4)=54 equation: 


Simplifying
(2)(x + -4)(x + -4)(x + -4) = 54

Reorder the terms:
2(-4 + x)(x + -4)(x + -4) = 54

Reorder the terms:
2(-4 + x)(-4 + x)(x + -4) = 54

Reorder the terms:
2(-4 + x)(-4 + x)(-4 + x) = 54

Multiply (-4 + x) * (-4 + x)
2(-4(-4 + x) + x(-4 + x))(-4 + x) = 54
2((-4 * -4 + x * -4) + x(-4 + x))(-4 + x) = 54
2((16 + -4x) + x(-4 + x))(-4 + x) = 54
2(16 + -4x + (-4 * x + x * x))(-4 + x) = 54
2(16 + -4x + (-4x + x2))(-4 + x) = 54

Combine like terms: -4x + -4x = -8x
2(16 + -8x + x2)(-4 + x) = 54

Multiply (16 + -8x + x2) * (-4 + x)
2(16(-4 + x) + -8x * (-4 + x) + x2(-4 + x)) = 54
2((-4 * 16 + x * 16) + -8x * (-4 + x) + x2(-4 + x)) = 54
2((-64 + 16x) + -8x * (-4 + x) + x2(-4 + x)) = 54
2(-64 + 16x + (-4 * -8x + x * -8x) + x2(-4 + x)) = 54
2(-64 + 16x + (32x + -8x2) + x2(-4 + x)) = 54
2(-64 + 16x + 32x + -8x2 + (-4 * x2 + x * x2)) = 54
2(-64 + 16x + 32x + -8x2 + (-4x2 + x3)) = 54

Combine like terms: 16x + 32x = 48x
2(-64 + 48x + -8x2 + -4x2 + x3) = 54

Combine like terms: -8x2 + -4x2 = -12x2
2(-64 + 48x + -12x2 + x3) = 54
(-64 * 2 + 48x * 2 + -12x2 * 2 + x3 * 2) = 54
(-128 + 96x + -24x2 + 2x3) = 54

Solving
-128 + 96x + -24x2 + 2x3 = 54

Solving for variable 'x'.

Reorder the terms:
-128 + -54 + 96x + -24x2 + 2x3 = 54 + -54

Combine like terms: -128 + -54 = -182
-182 + 96x + -24x2 + 2x3 = 54 + -54

Combine like terms: 54 + -54 = 0
-182 + 96x + -24x2 + 2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-91 + 48x + -12x2 + x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-91 + 48x + -12x2 + x3)' equal to zero and attempt to solve:

Simplifying
-91 + 48x + -12x2 + x3 = 0

Solving
-91 + 48x + -12x2 + x3 = 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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