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Simplifying 7m2 = -20 + 39m Solving 7m2 = -20 + 39m Solving for variable 'm'. Reorder the terms: 20 + -39m + 7m2 = -20 + 39m + 20 + -39m Reorder the terms: 20 + -39m + 7m2 = -20 + 20 + 39m + -39m Combine like terms: -20 + 20 = 0 20 + -39m + 7m2 = 0 + 39m + -39m 20 + -39m + 7m2 = 39m + -39m Combine like terms: 39m + -39m = 0 20 + -39m + 7m2 = 0 Factor a trinomial. (4 + -7m)(5 + -1m) = 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 '(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 = {0.5714285714, 5}
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