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Simplifying 6m(3m + -1p) = 0 (3m * 6m + -1p * 6m) = 0 Reorder the terms: (-6mp + 18m2) = 0 (-6mp + 18m2) = 0 Solving -6mp + 18m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '6m'. 6m(-1p + 3m) = 0 Ignore the factor 6.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 '(-1p + 3m)' equal to zero and attempt to solve: Simplifying -1p + 3m = 0 Reorder the terms: 3m + -1p = 0 Solving 3m + -1p = 0 Move all terms containing m to the left, all other terms to the right. Add 'p' to each side of the equation. 3m + -1p + p = 0 + p Combine like terms: -1p + p = 0 3m + 0 = 0 + p 3m = 0 + p Remove the zero: 3m = p Divide each side by '3'. m = 0.3333333333p Simplifying m = 0.3333333333pSolution
m = {0, 0.3333333333p}
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