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Simplifying 7m3 = 70m2 + -175m Reorder the terms: 7m3 = -175m + 70m2 Solving 7m3 = -175m + 70m2 Solving for variable 'm'. Reorder the terms: 175m + -70m2 + 7m3 = -175m + 70m2 + 175m + -70m2 Reorder the terms: 175m + -70m2 + 7m3 = -175m + 175m + 70m2 + -70m2 Combine like terms: -175m + 175m = 0 175m + -70m2 + 7m3 = 0 + 70m2 + -70m2 175m + -70m2 + 7m3 = 70m2 + -70m2 Combine like terms: 70m2 + -70m2 = 0 175m + -70m2 + 7m3 = 0 Factor out the Greatest Common Factor (GCF), '7m'. 7m(25 + -10m + m2) = 0 Factor a trinomial. 7m((5 + -1m)(5 + -1m)) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 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 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Subproblem 3
Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 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 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {0, 5, 5}
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