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Simplifying 4 = -4x2 + 16x + -12 Reorder the terms: 4 = -12 + 16x + -4x2 Solving 4 = -12 + 16x + -4x2 Solving for variable 'x'. Combine like terms: 4 + 12 = 16 16 + -16x + 4x2 = -12 + 16x + -4x2 + 12 + -16x + 4x2 Reorder the terms: 16 + -16x + 4x2 = -12 + 12 + 16x + -16x + -4x2 + 4x2 Combine like terms: -12 + 12 = 0 16 + -16x + 4x2 = 0 + 16x + -16x + -4x2 + 4x2 16 + -16x + 4x2 = 16x + -16x + -4x2 + 4x2 Combine like terms: 16x + -16x = 0 16 + -16x + 4x2 = 0 + -4x2 + 4x2 16 + -16x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 16 + -16x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(4 + -4x + x2) = 0 Factor a trinomial. 4((2 + -1x)(2 + -1x)) = 0 Ignore the factor 4.Subproblem 1
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 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 = 2Solution
x = {2, 2}
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