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Simplifying -10x2 + 31x + -24 = 0 Reorder the terms: -24 + 31x + -10x2 = 0 Solving -24 + 31x + -10x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + 5x)(3 + -2x) = 0Subproblem 1
Set the factor '(-8 + 5x)' equal to zero and attempt to solve: Simplifying -8 + 5x = 0 Solving -8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 0 + 8 5x = 0 + 8 Combine like terms: 0 + 8 = 8 5x = 8 Divide each side by '5'. x = 1.6 Simplifying x = 1.6Subproblem 2
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 = 1.5Solution
x = {1.6, 1.5}
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