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Simplifying (m + n)(m + -1n) = 196 Multiply (m + n) * (m + -1n) (m(m + -1n) + n(m + -1n)) = 196 ((m * m + -1n * m) + n(m + -1n)) = 196 Reorder the terms: ((-1mn + m2) + n(m + -1n)) = 196 ((-1mn + m2) + n(m + -1n)) = 196 (-1mn + m2 + (m * n + -1n * n)) = 196 (-1mn + m2 + (mn + -1n2)) = 196 Reorder the terms: (-1mn + mn + m2 + -1n2) = 196 Combine like terms: -1mn + mn = 0 (0 + m2 + -1n2) = 196 (m2 + -1n2) = 196 Solving m2 + -1n2 = 196 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'n2' to each side of the equation. m2 + -1n2 + n2 = 196 + n2 Combine like terms: -1n2 + n2 = 0 m2 + 0 = 196 + n2 m2 = 196 + n2 Simplifying m2 = 196 + n2 Reorder the terms: -196 + m2 + -1n2 = 196 + n2 + -196 + -1n2 Reorder the terms: -196 + m2 + -1n2 = 196 + -196 + n2 + -1n2 Combine like terms: 196 + -196 = 0 -196 + m2 + -1n2 = 0 + n2 + -1n2 -196 + m2 + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 -196 + m2 + -1n2 = 0 The solution to this equation could not be determined.
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