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Simplifying 384 = 56x + -2x2 Solving 384 = 56x + -2x2 Solving for variable 'x'. Reorder the terms: 384 + -56x + 2x2 = 56x + -56x + -2x2 + 2x2 Combine like terms: 56x + -56x = 0 384 + -56x + 2x2 = 0 + -2x2 + 2x2 384 + -56x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 384 + -56x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(192 + -28x + x2) = 0 Factor a trinomial. 2((12 + -1x)(16 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {12, 16}
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