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Simplifying 8m2 + -16m + -13 = -3 Reorder the terms: -13 + -16m + 8m2 = -3 Solving -13 + -16m + 8m2 = -3 Solving for variable 'm'. Reorder the terms: -13 + 3 + -16m + 8m2 = -3 + 3 Combine like terms: -13 + 3 = -10 -10 + -16m + 8m2 = -3 + 3 Combine like terms: -3 + 3 = 0 -10 + -16m + 8m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + -8m + 4m2) = 0 Factor a trinomial. 2((-1 + -2m)(5 + -2m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -2m)' equal to zero and attempt to solve: Simplifying -1 + -2m = 0 Solving -1 + -2m = 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 + -2m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2m = 0 + 1 -2m = 0 + 1 Combine like terms: 0 + 1 = 1 -2m = 1 Divide each side by '-2'. m = -0.5 Simplifying m = -0.5Subproblem 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 = {-0.5, 2.5}
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