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Simplifying -4m2 + -6m + 15 = 5 Reorder the terms: 15 + -6m + -4m2 = 5 Solving 15 + -6m + -4m2 = 5 Solving for variable 'm'. Reorder the terms: 15 + -5 + -6m + -4m2 = 5 + -5 Combine like terms: 15 + -5 = 10 10 + -6m + -4m2 = 5 + -5 Combine like terms: 5 + -5 = 0 10 + -6m + -4m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -3m + -2m2) = 0 Factor a trinomial. 2((1 + -1m)(5 + 2m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Subproblem 2
Set the factor '(5 + 2m)' equal to zero and attempt to solve: Simplifying 5 + 2m = 0 Solving 5 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2m = 0 + -5 2m = 0 + -5 Combine like terms: 0 + -5 = -5 2m = -5 Divide each side by '2'. m = -2.5 Simplifying m = -2.5Solution
m = {1, -2.5}
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