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Simplifying 10x2 + 2x + -96 = 0 Reorder the terms: -96 + 2x + 10x2 = 0 Solving -96 + 2x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-48 + x + 5x2) = 0 Factor a trinomial. 2((-16 + -5x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-16 + -5x)' equal to zero and attempt to solve: Simplifying -16 + -5x = 0 Solving -16 + -5x = 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 + -5x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -5x = 0 + 16 -5x = 0 + 16 Combine like terms: 0 + 16 = 16 -5x = 16 Divide each side by '-5'. x = -3.2 Simplifying x = -3.2Subproblem 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 = {-3.2, 3}
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