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Simplifying 5m(2p + -4q) = 0 (2p * 5m + -4q * 5m) = 0 (10mp + -20mq) = 0 Solving 10mp + -20mq = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '10m'. 10m(p + -2q) = 0 Ignore the factor 10.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 '(p + -2q)' equal to zero and attempt to solve: Simplifying p + -2q = 0 Solving p + -2q = 0 Move all terms containing m to the left, all other terms to the right. Add '-1p' to each side of the equation. p + -1p + -2q = 0 + -1p Combine like terms: p + -1p = 0 0 + -2q = 0 + -1p -2q = 0 + -1p Remove the zero: -2q = -1p Add '2q' to each side of the equation. -2q + 2q = -1p + 2q Combine like terms: -2q + 2q = 0 0 = -1p + 2q Simplifying 0 = -1p + 2q The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
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