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Simplifying 4x(x + -2)(x + -2) = 0 Reorder the terms: 4x(-2 + x)(x + -2) = 0 Reorder the terms: 4x(-2 + x)(-2 + x) = 0 Multiply (-2 + x) * (-2 + x) 4x(-2(-2 + x) + x(-2 + x)) = 0 4x((-2 * -2 + x * -2) + x(-2 + x)) = 0 4x((4 + -2x) + x(-2 + x)) = 0 4x(4 + -2x + (-2 * x + x * x)) = 0 4x(4 + -2x + (-2x + x2)) = 0 Combine like terms: -2x + -2x = -4x 4x(4 + -4x + x2) = 0 (4 * 4x + -4x * 4x + x2 * 4x) = 0 (16x + -16x2 + 4x3) = 0 Solving 16x + -16x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(4 + -4x + x2) = 0 Factor a trinomial. 4x((2 + -1x)(2 + -1x)) = 0 Ignore the factor 4.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 = 0Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, 2, 2}
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