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Simplifying x(x + -2)(x + 2) = 0 Reorder the terms: x(-2 + x)(x + 2) = 0 Reorder the terms: x(-2 + x)(2 + x) = 0 Multiply (-2 + x) * (2 + x) x(-2(2 + x) + x(2 + x)) = 0 x((2 * -2 + x * -2) + x(2 + x)) = 0 x((-4 + -2x) + x(2 + x)) = 0 x(-4 + -2x + (2 * x + x * x)) = 0 x(-4 + -2x + (2x + x2)) = 0 Combine like terms: -2x + 2x = 0 x(-4 + 0 + x2) = 0 x(-4 + x2) = 0 (-4 * x + x2 * x) = 0 (-4x + x3) = 0 Solving -4x + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + x2) = 0 Factor a difference between two squares. x((2 + x)(-2 + x)) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 3
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Solution
x = {0, -2, 2}
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