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Simplifying m2 = 2m + 8 Reorder the terms: m2 = 8 + 2m Solving m2 = 8 + 2m Solving for variable 'm'. Reorder the terms: -8 + -2m + m2 = 8 + 2m + -8 + -2m Reorder the terms: -8 + -2m + m2 = 8 + -8 + 2m + -2m Combine like terms: 8 + -8 = 0 -8 + -2m + m2 = 0 + 2m + -2m -8 + -2m + m2 = 2m + -2m Combine like terms: 2m + -2m = 0 -8 + -2m + m2 = 0 Factor a trinomial. (-2 + -1m)(4 + -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 '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 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 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {-2, 4}
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