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Simplifying 9m2 = -77m Solving 9m2 = -77m Solving for variable 'm'. Reorder the terms: 77m + 9m2 = -77m + 77m Combine like terms: -77m + 77m = 0 77m + 9m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(77 + 9m) = 0Subproblem 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 '(77 + 9m)' equal to zero and attempt to solve: Simplifying 77 + 9m = 0 Solving 77 + 9m = 0 Move all terms containing m to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + 9m = 0 + -77 Combine like terms: 77 + -77 = 0 0 + 9m = 0 + -77 9m = 0 + -77 Combine like terms: 0 + -77 = -77 9m = -77 Divide each side by '9'. m = -8.555555556 Simplifying m = -8.555555556Solution
m = {0, -8.555555556}
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