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Simplifying 2m(m + -3) = 4m Reorder the terms: 2m(-3 + m) = 4m (-3 * 2m + m * 2m) = 4m (-6m + 2m2) = 4m Solving -6m + 2m2 = 4m Solving for variable 'm'. Reorder the terms: -6m + -4m + 2m2 = 4m + -4m Combine like terms: -6m + -4m = -10m -10m + 2m2 = 4m + -4m Combine like terms: 4m + -4m = 0 -10m + 2m2 = 0 Factor out the Greatest Common Factor (GCF), '2m'. 2m(-5 + m) = 0 Ignore the factor 2.Subproblem 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 '(-5 + m)' equal to zero and attempt to solve: Simplifying -5 + m = 0 Solving -5 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + m = 0 + 5 m = 0 + 5 Combine like terms: 0 + 5 = 5 m = 5 Simplifying m = 5Solution
m = {0, 5}
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