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