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Simplifying -1mnp(3m + -5 + 7p) = 0 Reorder the terms: -1mnp(-5 + 3m + 7p) = 0 (-5 * -1mnp + 3m * -1mnp + 7p * -1mnp) = 0 Reorder the terms: (5mnp + -7mnp2 + -3m2np) = 0 (5mnp + -7mnp2 + -3m2np) = 0 Solving 5mnp + -7mnp2 + -3m2np = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'mnp'. mnp(5 + -7p + -3m) = 0Subproblem 1
Set the factor 'mnp' equal to zero and attempt to solve: Simplifying mnp = 0 Solving mnp = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mnp = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + -7p + -3m)' equal to zero and attempt to solve: Simplifying 5 + -7p + -3m = 0 Reorder the terms: 5 + -3m + -7p = 0 Solving 5 + -3m + -7p = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -3m + -5 + -7p = 0 + -5 Reorder the terms: 5 + -5 + -3m + -7p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3m + -7p = 0 + -5 -3m + -7p = 0 + -5 Combine like terms: 0 + -5 = -5 -3m + -7p = -5 Add '7p' to each side of the equation. -3m + -7p + 7p = -5 + 7p Combine like terms: -7p + 7p = 0 -3m + 0 = -5 + 7p -3m = -5 + 7p Divide each side by '-3'. m = 1.666666667 + -2.333333333p Simplifying m = 1.666666667 + -2.333333333pSolution
m = {1.666666667 + -2.333333333p}
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