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Simplifying 5m2 + -22m + -48 = 0 Reorder the terms: -48 + -22m + 5m2 = 0 Solving -48 + -22m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (-8 + -5m)(6 + -1m) = 0Subproblem 1
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 = -1.6Subproblem 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 = {-1.6, 6}
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