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Simplifying 40x2 + 117x = 360 Reorder the terms: 117x + 40x2 = 360 Solving 117x + 40x2 = 360 Solving for variable 'x'. Reorder the terms: -360 + 117x + 40x2 = 360 + -360 Combine like terms: 360 + -360 = 0 -360 + 117x + 40x2 = 0 Factor a trinomial. (-24 + -5x)(15 + -8x) = 0Subproblem 1
Set the factor '(-24 + -5x)' equal to zero and attempt to solve: Simplifying -24 + -5x = 0 Solving -24 + -5x = 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 + -5x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = 0 + 24 -5x = 0 + 24 Combine like terms: 0 + 24 = 24 -5x = 24 Divide each side by '-5'. x = -4.8 Simplifying x = -4.8Subproblem 2
Set the factor '(15 + -8x)' equal to zero and attempt to solve: Simplifying 15 + -8x = 0 Solving 15 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -8x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 0 + -15 -8x = 0 + -15 Combine like terms: 0 + -15 = -15 -8x = -15 Divide each side by '-8'. x = 1.875 Simplifying x = 1.875Solution
x = {-4.8, 1.875}
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