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Simplifying m2 = 48 + -2m Solving m2 = 48 + -2m Solving for variable 'm'. Reorder the terms: -48 + 2m + m2 = 48 + -2m + -48 + 2m Reorder the terms: -48 + 2m + m2 = 48 + -48 + -2m + 2m Combine like terms: 48 + -48 = 0 -48 + 2m + m2 = 0 + -2m + 2m -48 + 2m + m2 = -2m + 2m Combine like terms: -2m + 2m = 0 -48 + 2m + m2 = 0 Factor a trinomial. (-8 + -1m)(6 + -1m) = 0Subproblem 1
Set the factor '(-8 + -1m)' equal to zero and attempt to solve: Simplifying -8 + -1m = 0 Solving -8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1m = 0 + 8 -1m = 0 + 8 Combine like terms: 0 + 8 = 8 -1m = 8 Divide each side by '-1'. m = -8 Simplifying m = -8Subproblem 2
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 = 6Solution
m = {-8, 6}
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