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Simplifying 18m2 + 96 = 156m Reorder the terms: 96 + 18m2 = 156m Solving 96 + 18m2 = 156m Solving for variable 'm'. Reorder the terms: 96 + -156m + 18m2 = 156m + -156m Combine like terms: 156m + -156m = 0 96 + -156m + 18m2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(16 + -26m + 3m2) = 0 Factor a trinomial. 6((2 + -3m)(8 + -1m)) = 0 Ignore the factor 6.Subproblem 1
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 = 0.6666666667Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 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 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Solution
m = {0.6666666667, 8}
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