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Simplifying 10m2 + -35 = 65m Reorder the terms: -35 + 10m2 = 65m Solving -35 + 10m2 = 65m Solving for variable 'm'. Reorder the terms: -35 + -65m + 10m2 = 65m + -65m Combine like terms: 65m + -65m = 0 -35 + -65m + 10m2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-7 + -13m + 2m2) = 0 Factor a trinomial. 5((-1 + -2m)(7 + -1m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + -2m)' equal to zero and attempt to solve: Simplifying -1 + -2m = 0 Solving -1 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2m = 0 + 1 -2m = 0 + 1 Combine like terms: 0 + 1 = 1 -2m = 1 Divide each side by '-2'. m = -0.5 Simplifying m = -0.5Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 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 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Solution
m = {-0.5, 7}
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