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Simplifying m2 = 15m + -54 Reorder the terms: m2 = -54 + 15m Solving m2 = -54 + 15m Solving for variable 'm'. Reorder the terms: 54 + -15m + m2 = -54 + 15m + 54 + -15m Reorder the terms: 54 + -15m + m2 = -54 + 54 + 15m + -15m Combine like terms: -54 + 54 = 0 54 + -15m + m2 = 0 + 15m + -15m 54 + -15m + m2 = 15m + -15m Combine like terms: 15m + -15m = 0 54 + -15m + m2 = 0 Factor a trinomial. (6 + -1m)(9 + -1m) = 0Subproblem 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 '(9 + -1m)' equal to zero and attempt to solve: Simplifying 9 + -1m = 0 Solving 9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1m = 0 + -9 -1m = 0 + -9 Combine like terms: 0 + -9 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9Solution
m = {6, 9}
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