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Simplifying 72x2 + 7x + -240 = 0 Reorder the terms: -240 + 7x + 72x2 = 0 Solving -240 + 7x + 72x2 = 0 Solving for variable 'x'. Factor a trinomial. (-15 + -8x)(16 + -9x) = 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 '(16 + -9x)' equal to zero and attempt to solve: Simplifying 16 + -9x = 0 Solving 16 + -9x = 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 + -9x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -9x = 0 + -16 -9x = 0 + -16 Combine like terms: 0 + -16 = -16 -9x = -16 Divide each side by '-9'. x = 1.777777778 Simplifying x = 1.777777778Solution
x = {-1.875, 1.777777778}
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