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Simplifying 0 = m(4 + p) + p(3 + m) 0 = (4 * m + p * m) + p(3 + m) 0 = (4m + mp) + p(3 + m) 0 = 4m + mp + (3 * p + m * p) Reorder the terms: 0 = 4m + mp + (mp + 3p) 0 = 4m + mp + (mp + 3p) Combine like terms: mp + mp = 2mp 0 = 4m + 2mp + 3p Solving 0 = 4m + 2mp + 3p Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 0 + -4m = 4m + 2mp + -4m + 3p Remove the zero: -4m = 4m + 2mp + -4m + 3p Reorder the terms: -4m = 4m + -4m + 2mp + 3p Combine like terms: 4m + -4m = 0 -4m = 0 + 2mp + 3p -4m = 2mp + 3p Add '-2mp' to each side of the equation. -4m + -2mp = 2mp + -2mp + 3p Combine like terms: 2mp + -2mp = 0 -4m + -2mp = 0 + 3p -4m + -2mp = 3p Combine like terms: 3p + -3p = 0 -4m + -2mp + -3p = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4m + 2mp + 3p) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4m + 2mp + 3p)' equal to zero and attempt to solve: Simplifying 4m + 2mp + 3p = 0 Solving 4m + 2mp + 3p = 0 Move all terms containing m to the left, all other terms to the right. Add '-3p' to each side of the equation. 4m + 2mp + 3p + -3p = 0 + -3p Combine like terms: 3p + -3p = 0 4m + 2mp + 0 = 0 + -3p 4m + 2mp = 0 + -3p Remove the zero: 4m + 2mp = -3p 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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