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Simplifying 6m + (7m2 + 3m) = 0 Reorder the terms: 6m + (3m + 7m2) = 0 Remove parenthesis around (3m + 7m2) 6m + 3m + 7m2 = 0 Combine like terms: 6m + 3m = 9m 9m + 7m2 = 0 Solving 9m + 7m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(9 + 7m) = 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 '(9 + 7m)' equal to zero and attempt to solve: Simplifying 9 + 7m = 0 Solving 9 + 7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7m = 0 + -9 7m = 0 + -9 Combine like terms: 0 + -9 = -9 7m = -9 Divide each side by '7'. m = -1.285714286 Simplifying m = -1.285714286Solution
m = {0, -1.285714286}
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