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Simplifying (a + -1b)(a + -1b) + -1(a + b)(a + b) = 0 Multiply (a + -1b) * (a + -1b) (a(a + -1b) + -1b * (a + -1b)) + -1(a + b)(a + b) = 0 ((a * a + -1b * a) + -1b * (a + -1b)) + -1(a + b)(a + b) = 0 Reorder the terms: ((-1ab + a2) + -1b * (a + -1b)) + -1(a + b)(a + b) = 0 ((-1ab + a2) + -1b * (a + -1b)) + -1(a + b)(a + b) = 0 (-1ab + a2 + (a * -1b + -1b * -1b)) + -1(a + b)(a + b) = 0 (-1ab + a2 + (-1ab + 1b2)) + -1(a + b)(a + b) = 0 Reorder the terms: (-1ab + -1ab + a2 + 1b2) + -1(a + b)(a + b) = 0 Combine like terms: -1ab + -1ab = -2ab (-2ab + a2 + 1b2) + -1(a + b)(a + b) = 0 Multiply (a + b) * (a + b) -2ab + a2 + 1b2 + -1(a(a + b) + b(a + b)) = 0 -2ab + a2 + 1b2 + -1((a * a + b * a) + b(a + b)) = 0 Reorder the terms: -2ab + a2 + 1b2 + -1((ab + a2) + b(a + b)) = 0 -2ab + a2 + 1b2 + -1((ab + a2) + b(a + b)) = 0 -2ab + a2 + 1b2 + -1(ab + a2 + (a * b + b * b)) = 0 -2ab + a2 + 1b2 + -1(ab + a2 + (ab + b2)) = 0 Reorder the terms: -2ab + a2 + 1b2 + -1(ab + ab + a2 + b2) = 0 Combine like terms: ab + ab = 2ab -2ab + a2 + 1b2 + -1(2ab + a2 + b2) = 0 -2ab + a2 + 1b2 + (2ab * -1 + a2 * -1 + b2 * -1) = 0 -2ab + a2 + 1b2 + (-2ab + -1a2 + -1b2) = 0 Reorder the terms: -2ab + -2ab + a2 + -1a2 + 1b2 + -1b2 = 0 Combine like terms: -2ab + -2ab = -4ab -4ab + a2 + -1a2 + 1b2 + -1b2 = 0 Combine like terms: a2 + -1a2 = 0 -4ab + 0 + 1b2 + -1b2 = 0 -4ab + 1b2 + -1b2 = 0 Combine like terms: 1b2 + -1b2 = 0 -4ab + 0 = 0 -4ab = 0 Solving -4ab = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '-4'. ab = 0 Simplifying ab = 0 The solution to this equation could not be determined.
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