x*x*x(3-4x)=4x(3-4x)

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Solution for x*x*x(3-4x)=4x(3-4x) equation:


Simplifying
x * x * x(3 + -4x) = 4x(3 + -4x)

Multiply x * x
x2 * x(3 + -4x) = 4x(3 + -4x)

Multiply x2 * x
x3(3 + -4x) = 4x(3 + -4x)
(3 * x3 + -4x * x3) = 4x(3 + -4x)
(3x3 + -4x4) = 4x(3 + -4x)
3x3 + -4x4 = (3 * 4x + -4x * 4x)
3x3 + -4x4 = (12x + -16x2)

Solving
3x3 + -4x4 = 12x + -16x2

Solving for variable 'x'.

Reorder the terms:
-12x + 16x2 + 3x3 + -4x4 = 12x + -16x2 + -12x + 16x2

Reorder the terms:
-12x + 16x2 + 3x3 + -4x4 = 12x + -12x + -16x2 + 16x2

Combine like terms: 12x + -12x = 0
-12x + 16x2 + 3x3 + -4x4 = 0 + -16x2 + 16x2
-12x + 16x2 + 3x3 + -4x4 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-12x + 16x2 + 3x3 + -4x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + 16x + 3x2 + -4x3) = 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 '(-12 + 16x + 3x2 + -4x3)' equal to zero and attempt to solve:

Simplifying
-12 + 16x + 3x2 + -4x3 = 0

Solving
-12 + 16x + 3x2 + -4x3 = 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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