(x^3-4x^2+4x)(2x-3)=0

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Solution for (x^3-4x^2+4x)(2x-3)=0 equation: 


Simplifying
(x3 + -4x2 + 4x)(2x + -3) = 0

Reorder the terms:
(4x + -4x2 + x3)(2x + -3) = 0

Reorder the terms:
(4x + -4x2 + x3)(-3 + 2x) = 0

Multiply (4x + -4x2 + x3) * (-3 + 2x)
(4x * (-3 + 2x) + -4x2 * (-3 + 2x) + x3(-3 + 2x)) = 0
((-3 * 4x + 2x * 4x) + -4x2 * (-3 + 2x) + x3(-3 + 2x)) = 0
((-12x + 8x2) + -4x2 * (-3 + 2x) + x3(-3 + 2x)) = 0
(-12x + 8x2 + (-3 * -4x2 + 2x * -4x2) + x3(-3 + 2x)) = 0
(-12x + 8x2 + (12x2 + -8x3) + x3(-3 + 2x)) = 0
(-12x + 8x2 + 12x2 + -8x3 + (-3 * x3 + 2x * x3)) = 0
(-12x + 8x2 + 12x2 + -8x3 + (-3x3 + 2x4)) = 0

Combine like terms: 8x2 + 12x2 = 20x2
(-12x + 20x2 + -8x3 + -3x3 + 2x4) = 0

Combine like terms: -8x3 + -3x3 = -11x3
(-12x + 20x2 + -11x3 + 2x4) = 0

Solving
-12x + 20x2 + -11x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + 20x + -11x2 + 2x3) = 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 + 20x + -11x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-12 + 20x + -11x2 + 2x3 = 0

Solving
-12 + 20x + -11x2 + 2x3 = 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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