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Simplifying 5m2 + -2m = m + 3m2 Reorder the terms: -2m + 5m2 = m + 3m2 Solving -2m + 5m2 = m + 3m2 Solving for variable 'm'. Reorder the terms: -2m + -1m + 5m2 + -3m2 = m + 3m2 + -1m + -3m2 Combine like terms: -2m + -1m = -3m -3m + 5m2 + -3m2 = m + 3m2 + -1m + -3m2 Combine like terms: 5m2 + -3m2 = 2m2 -3m + 2m2 = m + 3m2 + -1m + -3m2 Reorder the terms: -3m + 2m2 = m + -1m + 3m2 + -3m2 Combine like terms: m + -1m = 0 -3m + 2m2 = 0 + 3m2 + -3m2 -3m + 2m2 = 3m2 + -3m2 Combine like terms: 3m2 + -3m2 = 0 -3m + 2m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-3 + 2m) = 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 + 2m)' equal to zero and attempt to solve: Simplifying -3 + 2m = 0 Solving -3 + 2m = 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 + 2m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2m = 0 + 3 2m = 0 + 3 Combine like terms: 0 + 3 = 3 2m = 3 Divide each side by '2'. m = 1.5 Simplifying m = 1.5Solution
m = {0, 1.5}
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