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Simplifying 16 + 98m = -12m2 Solving 16 + 98m = -12m2 Solving for variable 'm'. Combine like terms: -12m2 + 12m2 = 0 16 + 98m + 12m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 49m + 6m2) = 0 Factor a trinomial. 2((8 + m)(1 + 6m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + m)' equal to zero and attempt to solve: Simplifying 8 + m = 0 Solving 8 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + m = 0 + -8 m = 0 + -8 Combine like terms: 0 + -8 = -8 m = -8 Simplifying m = -8Subproblem 2
Set the factor '(1 + 6m)' equal to zero and attempt to solve: Simplifying 1 + 6m = 0 Solving 1 + 6m = 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 + 6m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6m = 0 + -1 6m = 0 + -1 Combine like terms: 0 + -1 = -1 6m = -1 Divide each side by '6'. m = -0.1666666667 Simplifying m = -0.1666666667Solution
m = {-8, -0.1666666667}
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