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Simplifying 5m(m + -2) + -1m(2m + 3) = 0 Reorder the terms: 5m(-2 + m) + -1m(2m + 3) = 0 (-2 * 5m + m * 5m) + -1m(2m + 3) = 0 (-10m + 5m2) + -1m(2m + 3) = 0 Reorder the terms: -10m + 5m2 + -1m(3 + 2m) = 0 -10m + 5m2 + (3 * -1m + 2m * -1m) = 0 -10m + 5m2 + (-3m + -2m2) = 0 Reorder the terms: -10m + -3m + 5m2 + -2m2 = 0 Combine like terms: -10m + -3m = -13m -13m + 5m2 + -2m2 = 0 Combine like terms: 5m2 + -2m2 = 3m2 -13m + 3m2 = 0 Solving -13m + 3m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-13 + 3m) = 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 '(-13 + 3m)' equal to zero and attempt to solve: Simplifying -13 + 3m = 0 Solving -13 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 3m = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 3m = 0 + 13 3m = 0 + 13 Combine like terms: 0 + 13 = 13 3m = 13 Divide each side by '3'. m = 4.333333333 Simplifying m = 4.333333333Solution
m = {0, 4.333333333}
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