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Simplifying m2 = -4m2 + 48 + -22m Reorder the terms: m2 = 48 + -22m + -4m2 Solving m2 = 48 + -22m + -4m2 Solving for variable 'm'. Reorder the terms: -48 + 22m + m2 + 4m2 = 48 + -22m + -4m2 + -48 + 22m + 4m2 Combine like terms: m2 + 4m2 = 5m2 -48 + 22m + 5m2 = 48 + -22m + -4m2 + -48 + 22m + 4m2 Reorder the terms: -48 + 22m + 5m2 = 48 + -48 + -22m + 22m + -4m2 + 4m2 Combine like terms: 48 + -48 = 0 -48 + 22m + 5m2 = 0 + -22m + 22m + -4m2 + 4m2 -48 + 22m + 5m2 = -22m + 22m + -4m2 + 4m2 Combine like terms: -22m + 22m = 0 -48 + 22m + 5m2 = 0 + -4m2 + 4m2 -48 + 22m + 5m2 = -4m2 + 4m2 Combine like terms: -4m2 + 4m2 = 0 -48 + 22m + 5m2 = 0 Factor a trinomial. (-6 + -1m)(8 + -5m) = 0Subproblem 1
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 = -6Subproblem 2
Set the factor '(8 + -5m)' equal to zero and attempt to solve: Simplifying 8 + -5m = 0 Solving 8 + -5m = 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 + -5m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5m = 0 + -8 -5m = 0 + -8 Combine like terms: 0 + -8 = -8 -5m = -8 Divide each side by '-5'. m = 1.6 Simplifying m = 1.6Solution
m = {-6, 1.6}
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