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