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Simplifying m2 = 10 + 3m Solving m2 = 10 + 3m Solving for variable 'm'. Reorder the terms: -10 + -3m + m2 = 10 + 3m + -10 + -3m Reorder the terms: -10 + -3m + m2 = 10 + -10 + 3m + -3m Combine like terms: 10 + -10 = 0 -10 + -3m + m2 = 0 + 3m + -3m -10 + -3m + m2 = 3m + -3m Combine like terms: 3m + -3m = 0 -10 + -3m + m2 = 0 Factor a trinomial. (-2 + -1m)(5 + -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 '(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 = {-2, 5}
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