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Simplifying (m + n + 1)(m + -1n + -1) = 0 Reorder the terms: (1 + m + n)(m + -1n + -1) = 0 Reorder the terms: (1 + m + n)(-1 + m + -1n) = 0 Multiply (1 + m + n) * (-1 + m + -1n) (1(-1 + m + -1n) + m(-1 + m + -1n) + n(-1 + m + -1n)) = 0 ((-1 * 1 + m * 1 + -1n * 1) + m(-1 + m + -1n) + n(-1 + m + -1n)) = 0 ((-1 + 1m + -1n) + m(-1 + m + -1n) + n(-1 + m + -1n)) = 0 (-1 + 1m + -1n + (-1 * m + m * m + -1n * m) + n(-1 + m + -1n)) = 0 Reorder the terms: (-1 + 1m + -1n + (-1m + -1mn + m2) + n(-1 + m + -1n)) = 0 (-1 + 1m + -1n + (-1m + -1mn + m2) + n(-1 + m + -1n)) = 0 (-1 + 1m + -1n + -1m + -1mn + m2 + (-1 * n + m * n + -1n * n)) = 0 Reorder the terms: (-1 + 1m + -1n + -1m + -1mn + m2 + (mn + -1n + -1n2)) = 0 (-1 + 1m + -1n + -1m + -1mn + m2 + (mn + -1n + -1n2)) = 0 Reorder the terms: (-1 + 1m + -1m + -1mn + mn + m2 + -1n + -1n + -1n2) = 0 Combine like terms: 1m + -1m = 0 (-1 + 0 + -1mn + mn + m2 + -1n + -1n + -1n2) = 0 (-1 + -1mn + mn + m2 + -1n + -1n + -1n2) = 0 Combine like terms: -1mn + mn = 0 (-1 + 0 + m2 + -1n + -1n + -1n2) = 0 (-1 + m2 + -1n + -1n + -1n2) = 0 Combine like terms: -1n + -1n = -2n (-1 + m2 + -2n + -1n2) = 0 Solving -1 + m2 + -2n + -1n2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + m2 + -2n + 1 + -1n2 = 0 + 1 Reorder the terms: -1 + 1 + m2 + -2n + -1n2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + m2 + -2n + -1n2 = 0 + 1 m2 + -2n + -1n2 = 0 + 1 Combine like terms: 0 + 1 = 1 m2 + -2n + -1n2 = 1 Add '2n' to each side of the equation. m2 + -2n + 2n + -1n2 = 1 + 2n Combine like terms: -2n + 2n = 0 m2 + 0 + -1n2 = 1 + 2n m2 + -1n2 = 1 + 2n Add 'n2' to each side of the equation. m2 + -1n2 + n2 = 1 + 2n + n2 Combine like terms: -1n2 + n2 = 0 m2 + 0 = 1 + 2n + n2 m2 = 1 + 2n + n2 Simplifying m2 = 1 + 2n + n2 Reorder the terms: -1 + m2 + -2n + -1n2 = 1 + 2n + n2 + -1 + -2n + -1n2 Reorder the terms: -1 + m2 + -2n + -1n2 = 1 + -1 + 2n + -2n + n2 + -1n2 Combine like terms: 1 + -1 = 0 -1 + m2 + -2n + -1n2 = 0 + 2n + -2n + n2 + -1n2 -1 + m2 + -2n + -1n2 = 2n + -2n + n2 + -1n2 Combine like terms: 2n + -2n = 0 -1 + m2 + -2n + -1n2 = 0 + n2 + -1n2 -1 + m2 + -2n + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 -1 + m2 + -2n + -1n2 = 0 The solution to this equation could not be determined.
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