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Simplifying 4m2 = -3m Solving 4m2 = -3m Solving for variable 'm'. Reorder the terms: 3m + 4m2 = -3m + 3m Combine like terms: -3m + 3m = 0 3m + 4m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(3 + 4m) = 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 '(3 + 4m)' equal to zero and attempt to solve: Simplifying 3 + 4m = 0 Solving 3 + 4m = 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 + 4m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4m = 0 + -3 4m = 0 + -3 Combine like terms: 0 + -3 = -3 4m = -3 Divide each side by '4'. m = -0.75 Simplifying m = -0.75Solution
m = {0, -0.75}
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