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