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Simplifying 2x(x + -19) = -96 Reorder the terms: 2x(-19 + x) = -96 (-19 * 2x + x * 2x) = -96 (-38x + 2x2) = -96 Solving -38x + 2x2 = -96 Solving for variable 'x'. Reorder the terms: 96 + -38x + 2x2 = -96 + 96 Combine like terms: -96 + 96 = 0 96 + -38x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(48 + -19x + x2) = 0 Factor a trinomial. 2((3 + -1x)(16 + -1x)) = 0 Ignore the factor 2.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 '(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 = {3, 16}
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