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Simplifying m2 = 10m + 24 Reorder the terms: m2 = 24 + 10m Solving m2 = 24 + 10m Solving for variable 'm'. Reorder the terms: -24 + -10m + m2 = 24 + 10m + -24 + -10m Reorder the terms: -24 + -10m + m2 = 24 + -24 + 10m + -10m Combine like terms: 24 + -24 = 0 -24 + -10m + m2 = 0 + 10m + -10m -24 + -10m + m2 = 10m + -10m Combine like terms: 10m + -10m = 0 -24 + -10m + m2 = 0 Factor a trinomial. (-2 + -1m)(12 + -1m) = 0Subproblem 1
Set the factor '(-2 + -1m)' equal to zero and attempt to solve: Simplifying -2 + -1m = 0 Solving -2 + -1m = 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 + -1m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1m = 0 + 2 -1m = 0 + 2 Combine like terms: 0 + 2 = 2 -1m = 2 Divide each side by '-1'. m = -2 Simplifying m = -2Subproblem 2
Set the factor '(12 + -1m)' equal to zero and attempt to solve: Simplifying 12 + -1m = 0 Solving 12 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1m = 0 + -12 -1m = 0 + -12 Combine like terms: 0 + -12 = -12 -1m = -12 Divide each side by '-1'. m = 12 Simplifying m = 12Solution
m = {-2, 12}
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