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Simplifying 35m2 + -43m + -36 = 0 Reorder the terms: -36 + -43m + 35m2 = 0 Solving -36 + -43m + 35m2 = 0 Solving for variable 'm'. Factor a trinomial. (-4 + -7m)(9 + -5m) = 0Subproblem 1
Set the factor '(-4 + -7m)' equal to zero and attempt to solve: Simplifying -4 + -7m = 0 Solving -4 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7m = 0 + 4 -7m = 0 + 4 Combine like terms: 0 + 4 = 4 -7m = 4 Divide each side by '-7'. m = -0.5714285714 Simplifying m = -0.5714285714Subproblem 2
Set the factor '(9 + -5m)' equal to zero and attempt to solve: Simplifying 9 + -5m = 0 Solving 9 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5m = 0 + -9 -5m = 0 + -9 Combine like terms: 0 + -9 = -9 -5m = -9 Divide each side by '-5'. m = 1.8 Simplifying m = 1.8Solution
m = {-0.5714285714, 1.8}
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