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Simplifying (12 + -2x)(12 + -2x) = 0 Multiply (12 + -2x) * (12 + -2x) (12(12 + -2x) + -2x * (12 + -2x)) = 0 ((12 * 12 + -2x * 12) + -2x * (12 + -2x)) = 0 ((144 + -24x) + -2x * (12 + -2x)) = 0 (144 + -24x + (12 * -2x + -2x * -2x)) = 0 (144 + -24x + (-24x + 4x2)) = 0 Combine like terms: -24x + -24x = -48x (144 + -48x + 4x2) = 0 Solving 144 + -48x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(36 + -12x + x2) = 0 Factor a trinomial. 4((6 + -1x)(6 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {6, 6}
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