=(x+4)(x+4)(x+4)x

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Solution for =(x+4)(x+4)(x+4)x equation: 


Simplifying
0 = (x + 4)(x + 4)(x + 4) * x

Reorder the terms:
0 = (4 + x)(x + 4)(x + 4) * x

Reorder the terms:
0 = (4 + x)(4 + x)(x + 4) * x

Reorder the terms:
0 = (4 + x)(4 + x)(4 + x) * x

Reorder the terms for easier multiplication:
0 = x(4 + x)(4 + x)(4 + x)

Multiply (4 + x) * (4 + x)
0 = x(4(4 + x) + x(4 + x))(4 + x)
0 = x((4 * 4 + x * 4) + x(4 + x))(4 + x)
0 = x((16 + 4x) + x(4 + x))(4 + x)
0 = x(16 + 4x + (4 * x + x * x))(4 + x)
0 = x(16 + 4x + (4x + x2))(4 + x)

Combine like terms: 4x + 4x = 8x
0 = x(16 + 8x + x2)(4 + x)

Multiply (16 + 8x + x2) * (4 + x)
0 = x(16(4 + x) + 8x * (4 + x) + x2(4 + x))
0 = x((4 * 16 + x * 16) + 8x * (4 + x) + x2(4 + x))
0 = x((64 + 16x) + 8x * (4 + x) + x2(4 + x))
0 = x(64 + 16x + (4 * 8x + x * 8x) + x2(4 + x))
0 = x(64 + 16x + (32x + 8x2) + x2(4 + x))
0 = x(64 + 16x + 32x + 8x2 + (4 * x2 + x * x2))
0 = x(64 + 16x + 32x + 8x2 + (4x2 + x3))

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

Combine like terms: 8x2 + 4x2 = 12x2
0 = x(64 + 48x + 12x2 + x3)
0 = (64 * x + 48x * x + 12x2 * x + x3 * x)
0 = (64x + 48x2 + 12x3 + x4)

Solving
0 = 64x + 48x2 + 12x3 + x4

Solving for variable 'x'.
Remove the zero:
-64x + -48x2 + -12x3 + -1x4 = 64x + 48x2 + 12x3 + x4 + -64x + -48x2 + -12x3 + -1x4

Reorder the terms:
-64x + -48x2 + -12x3 + -1x4 = 64x + -64x + 48x2 + -48x2 + 12x3 + -12x3 + x4 + -1x4

Combine like terms: 64x + -64x = 0
-64x + -48x2 + -12x3 + -1x4 = 0 + 48x2 + -48x2 + 12x3 + -12x3 + x4 + -1x4
-64x + -48x2 + -12x3 + -1x4 = 48x2 + -48x2 + 12x3 + -12x3 + x4 + -1x4

Combine like terms: 48x2 + -48x2 = 0
-64x + -48x2 + -12x3 + -1x4 = 0 + 12x3 + -12x3 + x4 + -1x4
-64x + -48x2 + -12x3 + -1x4 = 12x3 + -12x3 + x4 + -1x4

Combine like terms: 12x3 + -12x3 = 0
-64x + -48x2 + -12x3 + -1x4 = 0 + x4 + -1x4
-64x + -48x2 + -12x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-64x + -48x2 + -12x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(64 + 48x + 12x2 + x3) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(64 + 48x + 12x2 + x3)' equal to zero and attempt to solve:

Simplifying
64 + 48x + 12x2 + x3 = 0

Solving
64 + 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.
Solution
x = {0}

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