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Simplifying m2 = -8m + 48 Reorder the terms: m2 = 48 + -8m Solving m2 = 48 + -8m Solving for variable 'm'. Reorder the terms: -48 + 8m + m2 = 48 + -8m + -48 + 8m Reorder the terms: -48 + 8m + m2 = 48 + -48 + -8m + 8m Combine like terms: 48 + -48 = 0 -48 + 8m + m2 = 0 + -8m + 8m -48 + 8m + m2 = -8m + 8m Combine like terms: -8m + 8m = 0 -48 + 8m + m2 = 0 Factor a trinomial. (-12 + -1m)(4 + -1m) = 0Subproblem 1
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 = -12Subproblem 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 = {-12, 4}
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