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Simplifying 15mn3 + -25m2 + -15mn2 = 0 Reorder the terms: -15mn2 + 15mn3 + -25m2 = 0 Solving -15mn2 + 15mn3 + -25m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5m'. 5m(-3n2 + 3n3 + -5m) = 0 Ignore the factor 5.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 '(-3n2 + 3n3 + -5m)' equal to zero and attempt to solve: Simplifying -3n2 + 3n3 + -5m = 0 Reorder the terms: -5m + -3n2 + 3n3 = 0 Solving -5m + -3n2 + 3n3 = 0 Move all terms containing m to the left, all other terms to the right. Add '3n2' to each side of the equation. -5m + -3n2 + 3n2 + 3n3 = 0 + 3n2 Combine like terms: -3n2 + 3n2 = 0 -5m + 0 + 3n3 = 0 + 3n2 -5m + 3n3 = 0 + 3n2 Remove the zero: -5m + 3n3 = 3n2 Add '-3n3' to each side of the equation. -5m + 3n3 + -3n3 = 3n2 + -3n3 Combine like terms: 3n3 + -3n3 = 0 -5m + 0 = 3n2 + -3n3 -5m = 3n2 + -3n3 Divide each side by '-5'. m = -0.6n2 + 0.6n3 Simplifying m = -0.6n2 + 0.6n3Solution
m = {0, -0.6n2 + 0.6n3}
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