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Simplifying 4m + -3m(5m + -6) = 0 Reorder the terms: 4m + -3m(-6 + 5m) = 0 4m + (-6 * -3m + 5m * -3m) = 0 4m + (18m + -15m2) = 0 Combine like terms: 4m + 18m = 22m 22m + -15m2 = 0 Solving 22m + -15m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(22 + -15m) = 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 '(22 + -15m)' equal to zero and attempt to solve: Simplifying 22 + -15m = 0 Solving 22 + -15m = 0 Move all terms containing m to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -15m = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -15m = 0 + -22 -15m = 0 + -22 Combine like terms: 0 + -22 = -22 -15m = -22 Divide each side by '-15'. m = 1.466666667 Simplifying m = 1.466666667Solution
m = {0, 1.466666667}
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