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Simplifying (4x + -12)(4x + -12) = 0 Reorder the terms: (-12 + 4x)(4x + -12) = 0 Reorder the terms: (-12 + 4x)(-12 + 4x) = 0 Multiply (-12 + 4x) * (-12 + 4x) (-12(-12 + 4x) + 4x * (-12 + 4x)) = 0 ((-12 * -12 + 4x * -12) + 4x * (-12 + 4x)) = 0 ((144 + -48x) + 4x * (-12 + 4x)) = 0 (144 + -48x + (-12 * 4x + 4x * 4x)) = 0 (144 + -48x + (-48x + 16x2)) = 0 Combine like terms: -48x + -48x = -96x (144 + -96x + 16x2) = 0 Solving 144 + -96x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16'. 16(9 + -6x + x2) = 0 Factor a trinomial. 16((3 + -1x)(3 + -1x)) = 0 Ignore the factor 16.Subproblem 1
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 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 = 3Solution
x = {3, 3}
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