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

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


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

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

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

Reorder the terms for easier multiplication:
x(-4 + x2)(3 + x) = 0

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

Solving
-12x + -4x2 + 3x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + -4x + 3x2 + 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 + -4x + 3x2 + x3)' equal to zero and attempt to solve: Simplifying -12 + -4x + 3x2 + x3 = 0 Solving -12 + -4x + 3x2 + 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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