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Simplifying 10m2 + 11m + -35 = 0 Reorder the terms: -35 + 11m + 10m2 = 0 Solving -35 + 11m + 10m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + -2m)(7 + -5m) = 0Subproblem 1
Set the factor '(-5 + -2m)' equal to zero and attempt to solve: Simplifying -5 + -2m = 0 Solving -5 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2m = 0 + 5 -2m = 0 + 5 Combine like terms: 0 + 5 = 5 -2m = 5 Divide each side by '-2'. m = -2.5 Simplifying m = -2.5Subproblem 2
Set the factor '(7 + -5m)' equal to zero and attempt to solve: Simplifying 7 + -5m = 0 Solving 7 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5m = 0 + -7 -5m = 0 + -7 Combine like terms: 0 + -7 = -7 -5m = -7 Divide each side by '-5'. m = 1.4 Simplifying m = 1.4Solution
m = {-2.5, 1.4}
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