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Simplifying 5m2 = 27m + -10 Reorder the terms: 5m2 = -10 + 27m Solving 5m2 = -10 + 27m Solving for variable 'm'. Reorder the terms: 10 + -27m + 5m2 = -10 + 27m + 10 + -27m Reorder the terms: 10 + -27m + 5m2 = -10 + 10 + 27m + -27m Combine like terms: -10 + 10 = 0 10 + -27m + 5m2 = 0 + 27m + -27m 10 + -27m + 5m2 = 27m + -27m Combine like terms: 27m + -27m = 0 10 + -27m + 5m2 = 0 Factor a trinomial. (2 + -5m)(5 + -1m) = 0Subproblem 1
Set the factor '(2 + -5m)' equal to zero and attempt to solve: Simplifying 2 + -5m = 0 Solving 2 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5m = 0 + -2 -5m = 0 + -2 Combine like terms: 0 + -2 = -2 -5m = -2 Divide each side by '-5'. m = 0.4 Simplifying m = 0.4Subproblem 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 = {0.4, 5}
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