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Simplifying 7m + 6m + -9m2 + 8m = 0 Reorder the terms: 7m + 6m + 8m + -9m2 = 0 Combine like terms: 7m + 6m = 13m 13m + 8m + -9m2 = 0 Combine like terms: 13m + 8m = 21m 21m + -9m2 = 0 Solving 21m + -9m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m'. 3m(7 + -3m) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 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 = {0, 2.333333333}
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