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Simplifying (6 + -2x)(6 + -2x)(x) = 0 Reorder the terms for easier multiplication: x(6 + -2x)(6 + -2x) = 0 Multiply (6 + -2x) * (6 + -2x) x(6(6 + -2x) + -2x * (6 + -2x)) = 0 x((6 * 6 + -2x * 6) + -2x * (6 + -2x)) = 0 x((36 + -12x) + -2x * (6 + -2x)) = 0 x(36 + -12x + (6 * -2x + -2x * -2x)) = 0 x(36 + -12x + (-12x + 4x2)) = 0 Combine like terms: -12x + -12x = -24x x(36 + -24x + 4x2) = 0 (36 * x + -24x * x + 4x2 * x) = 0 (36x + -24x2 + 4x3) = 0 Solving 36x + -24x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(9 + -6x + x2) = 0 Factor a trinomial. 4x((3 + -1x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, 3, 3}
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