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Simplifying -10 = 8m2 + 21m Reorder the terms: -10 = 21m + 8m2 Solving -10 = 21m + 8m2 Solving for variable 'm'. Reorder the terms: -10 + -21m + -8m2 = 21m + -21m + 8m2 + -8m2 Combine like terms: 21m + -21m = 0 -10 + -21m + -8m2 = 0 + 8m2 + -8m2 -10 + -21m + -8m2 = 8m2 + -8m2 Combine like terms: 8m2 + -8m2 = 0 -10 + -21m + -8m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 21m + 8m2) = 0 Factor a trinomial. -1((2 + m)(5 + 8m)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Simplifying m = -2Subproblem 2
Set the factor '(5 + 8m)' equal to zero and attempt to solve: Simplifying 5 + 8m = 0 Solving 5 + 8m = 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 + 8m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8m = 0 + -5 8m = 0 + -5 Combine like terms: 0 + -5 = -5 8m = -5 Divide each side by '8'. m = -0.625 Simplifying m = -0.625Solution
m = {-2, -0.625}
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