x(2x+1)(x-2)(x+2)=0

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Solution for x(2x+1)(x-2)(x+2)=0 equation: 


Simplifying
x(2x + 1)(x + -2)(x + 2) = 0

Reorder the terms:
x(1 + 2x)(x + -2)(x + 2) = 0

Reorder the terms:
x(1 + 2x)(-2 + x)(x + 2) = 0

Reorder the terms:
x(1 + 2x)(-2 + x)(2 + x) = 0

Multiply (1 + 2x) * (-2 + x)
x(1(-2 + x) + 2x * (-2 + x))(2 + x) = 0
x((-2 * 1 + x * 1) + 2x * (-2 + x))(2 + x) = 0
x((-2 + 1x) + 2x * (-2 + x))(2 + x) = 0
x(-2 + 1x + (-2 * 2x + x * 2x))(2 + x) = 0
x(-2 + 1x + (-4x + 2x2))(2 + x) = 0

Combine like terms: 1x + -4x = -3x
x(-2 + -3x + 2x2)(2 + x) = 0

Multiply (-2 + -3x + 2x2) * (2 + x)
x(-2(2 + x) + -3x * (2 + x) + 2x2 * (2 + x)) = 0
x((2 * -2 + x * -2) + -3x * (2 + x) + 2x2 * (2 + x)) = 0
x((-4 + -2x) + -3x * (2 + x) + 2x2 * (2 + x)) = 0
x(-4 + -2x + (2 * -3x + x * -3x) + 2x2 * (2 + x)) = 0
x(-4 + -2x + (-6x + -3x2) + 2x2 * (2 + x)) = 0
x(-4 + -2x + -6x + -3x2 + (2 * 2x2 + x * 2x2)) = 0
x(-4 + -2x + -6x + -3x2 + (4x2 + 2x3)) = 0

Combine like terms: -2x + -6x = -8x
x(-4 + -8x + -3x2 + 4x2 + 2x3) = 0

Combine like terms: -3x2 + 4x2 = 1x2
x(-4 + -8x + 1x2 + 2x3) = 0
(-4 * x + -8x * x + 1x2 * x + 2x3 * x) = 0
(-4x + -8x2 + 1x3 + 2x4) = 0

Solving
-4x + -8x2 + 1x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + -8x + x2 + 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 '(-4 + -8x + x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-4 + -8x + x2 + 2x3 = 0

Solving
-4 + -8x + x2 + 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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