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Simplifying x(2x + -92) = 3360 Reorder the terms: x(-92 + 2x) = 3360 (-92 * x + 2x * x) = 3360 (-92x + 2x2) = 3360 Solving -92x + 2x2 = 3360 Solving for variable 'x'. Reorder the terms: -3360 + -92x + 2x2 = 3360 + -3360 Combine like terms: 3360 + -3360 = 0 -3360 + -92x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1680 + -46x + x2) = 0 Factor a trinomial. 2((-24 + -1x)(70 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-24 + -1x)' equal to zero and attempt to solve: Simplifying -24 + -1x = 0 Solving -24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 0 + 24 -1x = 0 + 24 Combine like terms: 0 + 24 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24Subproblem 2
Set the factor '(70 + -1x)' equal to zero and attempt to solve: Simplifying 70 + -1x = 0 Solving 70 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -1x = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -1x = 0 + -70 -1x = 0 + -70 Combine like terms: 0 + -70 = -70 -1x = -70 Divide each side by '-1'. x = 70 Simplifying x = 70Solution
x = {-24, 70}
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