(4x)(4x)(4x)-25x=0

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Solution for (4x)(4x)(4x)-25x=0 equation: 


Simplifying
(4x)(4x)(4x) + -25x = 0

Remove parenthesis around (4x)
4x(4x)(4x) + -25x = 0

Remove parenthesis around (4x)
4x * 4x(4x) + -25x = 0

Remove parenthesis around (4x)
4x * 4x * 4x + -25x = 0

Reorder the terms for easier multiplication:
4 * 4 * 4x * x * x + -25x = 0

Multiply 4 * 4
16 * 4x * x * x + -25x = 0

Multiply 16 * 4
64x * x * x + -25x = 0

Multiply x * x
64x2 * x + -25x = 0

Multiply x2 * x
64x3 + -25x = 0

Reorder the terms:
-25x + 64x3 = 0

Solving
-25x + 64x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-25 + 64x2) = 0

Factor a difference between two squares.
x((5 + 8x)(-5 + 8x)) = 0


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 '(5 + 8x)' equal to zero and attempt to solve:

Simplifying
5 + 8x = 0

Solving
5 + 8x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 8x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = 0 + -5
8x = 0 + -5

Combine like terms: 0 + -5 = -5
8x = -5

Divide each side by '8'.
x = -0.625

Simplifying
x = -0.625

Subproblem 3
Set the factor '(-5 + 8x)' equal to zero and attempt to solve:

Simplifying
-5 + 8x = 0

Solving
-5 + 8x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 8x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 8x = 0 + 5
8x = 0 + 5

Combine like terms: 0 + 5 = 5
8x = 5

Divide each side by '8'.
x = 0.625

Simplifying
x = 0.625
Solution
x = {0, -0.625, 0.625}

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