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Simplifying 6m2 + 2m = 20 Reorder the terms: 2m + 6m2 = 20 Solving 2m + 6m2 = 20 Solving for variable 'm'. Reorder the terms: -20 + 2m + 6m2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 2m + 6m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + m + 3m2) = 0 Factor a trinomial. 2((-2 + -1m)(5 + -3m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -1m)' equal to zero and attempt to solve: Simplifying -2 + -1m = 0 Solving -2 + -1m = 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 + -1m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1m = 0 + 2 -1m = 0 + 2 Combine like terms: 0 + 2 = 2 -1m = 2 Divide each side by '-1'. m = -2 Simplifying m = -2Subproblem 2
Set the factor '(5 + -3m)' equal to zero and attempt to solve: Simplifying 5 + -3m = 0 Solving 5 + -3m = 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 + -3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3m = 0 + -5 -3m = 0 + -5 Combine like terms: 0 + -5 = -5 -3m = -5 Divide each side by '-3'. m = 1.666666667 Simplifying m = 1.666666667Solution
m = {-2, 1.666666667}
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