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Simplifying 5m4p3 + -5m2p5 = 0 Reorder the terms: -5m2p5 + 5m4p3 = 0 Solving -5m2p5 + 5m4p3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5m2p3'. 5m2p3(-1p2 + m2) = 0 Factor a difference between two squares. 5m2p3((p + m)(-1p + m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'm2p3' equal to zero and attempt to solve: Simplifying m2p3 = 0 Solving m2p3 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2p3 = 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 '(p + m)' equal to zero and attempt to solve: Simplifying p + m = 0 Reorder the terms: m + p = 0 Solving m + p = 0 Move all terms containing m to the left, all other terms to the right. Add '-1p' to each side of the equation. m + p + -1p = 0 + -1p Combine like terms: p + -1p = 0 m + 0 = 0 + -1p m = 0 + -1p Remove the zero: m = -1p Simplifying m = -1pSubproblem 3
Set the factor '(-1p + m)' equal to zero and attempt to solve: Simplifying -1p + m = 0 Reorder the terms: m + -1p = 0 Solving m + -1p = 0 Move all terms containing m to the left, all other terms to the right. Add 'p' to each side of the equation. m + -1p + p = 0 + p Combine like terms: -1p + p = 0 m + 0 = 0 + p m = 0 + p Remove the zero: m = p Simplifying m = pSolution
m = {-1p, p}
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