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Simplifying 18m2 + 63 = 69m Reorder the terms: 63 + 18m2 = 69m Solving 63 + 18m2 = 69m Solving for variable 'm'. Reorder the terms: 63 + -69m + 18m2 = 69m + -69m Combine like terms: 69m + -69m = 0 63 + -69m + 18m2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(21 + -23m + 6m2) = 0 Factor a trinomial. 3((3 + -2m)(7 + -3m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -2m)' equal to zero and attempt to solve: Simplifying 3 + -2m = 0 Solving 3 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 0 + -3 -2m = 0 + -3 Combine like terms: 0 + -3 = -3 -2m = -3 Divide each side by '-2'. m = 1.5 Simplifying m = 1.5Subproblem 2
Set the factor '(7 + -3m)' equal to zero and attempt to solve: Simplifying 7 + -3m = 0 Solving 7 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3m = 0 + -7 -3m = 0 + -7 Combine like terms: 0 + -7 = -7 -3m = -7 Divide each side by '-3'. m = 2.333333333 Simplifying m = 2.333333333Solution
m = {1.5, 2.333333333}
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