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Simplifying 6m2 + 26m = 20 Reorder the terms: 26m + 6m2 = 20 Solving 26m + 6m2 = 20 Solving for variable 'm'. Reorder the terms: -20 + 26m + 6m2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 26m + 6m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + 13m + 3m2) = 0 Factor a trinomial. 2((-5 + -1m)(2 + -3m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 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 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5Subproblem 2
Set the factor '(2 + -3m)' equal to zero and attempt to solve: Simplifying 2 + -3m = 0 Solving 2 + -3m = 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 + -3m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3m = 0 + -2 -3m = 0 + -2 Combine like terms: 0 + -2 = -2 -3m = -2 Divide each side by '-3'. m = 0.6666666667 Simplifying m = 0.6666666667Solution
m = {-5, 0.6666666667}
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