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Simplifying 40x2 + 43x + -60 = 0 Reorder the terms: -60 + 43x + 40x2 = 0 Solving -60 + 43x + 40x2 = 0 Solving for variable 'x'. Factor a trinomial. (-15 + -8x)(4 + -5x) = 0Subproblem 1
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 = -1.875Subproblem 2
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Solution
x = {-1.875, 0.8}
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