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Simplifying 3m + -7m = p(m) Combine like terms: 3m + -7m = -4m -4m = p(m) Multiply p * m -4m = mp Solving -4m = mp Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1mp' to each side of the equation. -4m + -1mp = mp + -1mp Combine like terms: mp + -1mp = 0 -4m + -1mp = 0 Factor out the Greatest Common Factor (GCF), '-1m'. -1m(4 + p) = 0 Ignore the factor -1.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 '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Add '-1p' to each side of the equation. p + -1p = -4 + -1p Combine like terms: p + -1p = 0 0 = -4 + -1p Simplifying 0 = -4 + -1p 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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