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Simplifying 72x2 + 17x + -70 = 0 Reorder the terms: -70 + 17x + 72x2 = 0 Solving -70 + 17x + 72x2 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + -9x)(7 + -8x) = 0Subproblem 1
Set the factor '(-10 + -9x)' equal to zero and attempt to solve: Simplifying -10 + -9x = 0 Solving -10 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -9x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = 0 + 10 -9x = 0 + 10 Combine like terms: 0 + 10 = 10 -9x = 10 Divide each side by '-9'. x = -1.111111111 Simplifying x = -1.111111111Subproblem 2
Set the factor '(7 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875Solution
x = {-1.111111111, 0.875}
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