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Simplifying 3m2 + -2m2 + m = 0 Reorder the terms: m + 3m2 + -2m2 = 0 Combine like terms: 3m2 + -2m2 = 1m2 m + 1m2 = 0 Solving m + 1m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(1 + m) = 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 '(1 + m)' equal to zero and attempt to solve: Simplifying 1 + m = 0 Solving 1 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m = 0 + -1 m = 0 + -1 Combine like terms: 0 + -1 = -1 m = -1 Simplifying m = -1Solution
m = {0, -1}
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