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Simplifying m2 = 4m + 96 Reorder the terms: m2 = 96 + 4m Solving m2 = 96 + 4m Solving for variable 'm'. Reorder the terms: -96 + -4m + m2 = 96 + 4m + -96 + -4m Reorder the terms: -96 + -4m + m2 = 96 + -96 + 4m + -4m Combine like terms: 96 + -96 = 0 -96 + -4m + m2 = 0 + 4m + -4m -96 + -4m + m2 = 4m + -4m Combine like terms: 4m + -4m = 0 -96 + -4m + m2 = 0 Factor a trinomial. (-8 + -1m)(12 + -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 '(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 = {-8, 12}
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