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Simplifying (X + -1m)(x + n) = 0 Reorder the terms: (X + -1m)(n + x) = 0 Multiply (X + -1m) * (n + x) (X(n + x) + -1m * (n + x)) = 0 ((n * X + x * X) + -1m * (n + x)) = 0 ((nX + xX) + -1m * (n + x)) = 0 (nX + xX + (n * -1m + x * -1m)) = 0 (nX + xX + (-1mn + -1mx)) = 0 Reorder the terms: (-1mn + -1mx + nX + xX) = 0 (-1mn + -1mx + nX + xX) = 0 Solving -1mn + -1mx + nX + xX = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1nX' to each side of the equation. -1mn + -1mx + nX + -1nX + xX = 0 + -1nX Combine like terms: nX + -1nX = 0 -1mn + -1mx + 0 + xX = 0 + -1nX -1mn + -1mx + xX = 0 + -1nX Remove the zero: -1mn + -1mx + xX = -1nX Add '-1xX' to each side of the equation. -1mn + -1mx + xX + -1xX = -1nX + -1xX Combine like terms: xX + -1xX = 0 -1mn + -1mx + 0 = -1nX + -1xX -1mn + -1mx = -1nX + -1xX Reorder the terms: -1mn + -1mx + nX + xX = -1nX + nX + -1xX + xX Combine like terms: -1nX + nX = 0 -1mn + -1mx + nX + xX = 0 + -1xX + xX -1mn + -1mx + nX + xX = -1xX + xX Combine like terms: -1xX + xX = 0 -1mn + -1mx + nX + xX = 0 The solution to this equation could not be determined.
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