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

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


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

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

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

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

Reorder the terms:
(12x + -8x2 + -3x2 + -4x3 + 2x3 + x4) = 0

Combine like terms: -8x2 + -3x2 = -11x2
(12x + -11x2 + -4x3 + 2x3 + x4) = 0

Combine like terms: -4x3 + 2x3 = -2x3
(12x + -11x2 + -2x3 + x4) = 0

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

Solving for variable 'x'.

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

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

Solving
12 + -11x + -2x2 + 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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