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Simplifying 5m2 + -10m = 240 Reorder the terms: -10m + 5m2 = 240 Solving -10m + 5m2 = 240 Solving for variable 'm'. Reorder the terms: -240 + -10m + 5m2 = 240 + -240 Combine like terms: 240 + -240 = 0 -240 + -10m + 5m2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-48 + -2m + m2) = 0 Factor a trinomial. 5((-6 + -1m)(8 + -1m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-6 + -1m)' equal to zero and attempt to solve: Simplifying -6 + -1m = 0 Solving -6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1m = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1m = 0 + 6 -1m = 0 + 6 Combine like terms: 0 + 6 = 6 -1m = 6 Divide each side by '-1'. m = -6 Simplifying m = -6Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Solution
m = {-6, 8}
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