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Simplifying 0 = 4x2 + 58x + -96 Reorder the terms: 0 = -96 + 58x + 4x2 Solving 0 = -96 + 58x + 4x2 Solving for variable 'x'. Combine like terms: 0 + 96 = 96 96 + -58x + -4x2 = -96 + 58x + 4x2 + 96 + -58x + -4x2 Reorder the terms: 96 + -58x + -4x2 = -96 + 96 + 58x + -58x + 4x2 + -4x2 Combine like terms: -96 + 96 = 0 96 + -58x + -4x2 = 0 + 58x + -58x + 4x2 + -4x2 96 + -58x + -4x2 = 58x + -58x + 4x2 + -4x2 Combine like terms: 58x + -58x = 0 96 + -58x + -4x2 = 0 + 4x2 + -4x2 96 + -58x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 96 + -58x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(48 + -29x + -2x2) = 0 Factor a trinomial. 2((3 + -2x)(16 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 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 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16Solution
x = {1.5, -16}
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