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Simplifying (6 + -1a + -1b)(6 + a + -1b) = 0 Multiply (6 + -1a + -1b) * (6 + a + -1b) (6(6 + a + -1b) + -1a * (6 + a + -1b) + -1b * (6 + a + -1b)) = 0 ((6 * 6 + a * 6 + -1b * 6) + -1a * (6 + a + -1b) + -1b * (6 + a + -1b)) = 0 ((36 + 6a + -6b) + -1a * (6 + a + -1b) + -1b * (6 + a + -1b)) = 0 (36 + 6a + -6b + (6 * -1a + a * -1a + -1b * -1a) + -1b * (6 + a + -1b)) = 0 Reorder the terms: (36 + 6a + -6b + (-6a + 1ab + -1a2) + -1b * (6 + a + -1b)) = 0 (36 + 6a + -6b + (-6a + 1ab + -1a2) + -1b * (6 + a + -1b)) = 0 (36 + 6a + -6b + -6a + 1ab + -1a2 + (6 * -1b + a * -1b + -1b * -1b)) = 0 Reorder the terms: (36 + 6a + -6b + -6a + 1ab + -1a2 + (-1ab + -6b + 1b2)) = 0 (36 + 6a + -6b + -6a + 1ab + -1a2 + (-1ab + -6b + 1b2)) = 0 Reorder the terms: (36 + 6a + -6a + 1ab + -1ab + -1a2 + -6b + -6b + 1b2) = 0 Combine like terms: 6a + -6a = 0 (36 + 0 + 1ab + -1ab + -1a2 + -6b + -6b + 1b2) = 0 (36 + 1ab + -1ab + -1a2 + -6b + -6b + 1b2) = 0 Combine like terms: 1ab + -1ab = 0 (36 + 0 + -1a2 + -6b + -6b + 1b2) = 0 (36 + -1a2 + -6b + -6b + 1b2) = 0 Combine like terms: -6b + -6b = -12b (36 + -1a2 + -12b + 1b2) = 0 Solving 36 + -1a2 + -12b + 1b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -1a2 + -12b + -36 + 1b2 = 0 + -36 Reorder the terms: 36 + -36 + -1a2 + -12b + 1b2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1a2 + -12b + 1b2 = 0 + -36 -1a2 + -12b + 1b2 = 0 + -36 Combine like terms: 0 + -36 = -36 -1a2 + -12b + 1b2 = -36 Add '12b' to each side of the equation. -1a2 + -12b + 12b + 1b2 = -36 + 12b Combine like terms: -12b + 12b = 0 -1a2 + 0 + 1b2 = -36 + 12b -1a2 + 1b2 = -36 + 12b Add '-1b2' to each side of the equation. -1a2 + 1b2 + -1b2 = -36 + 12b + -1b2 Combine like terms: 1b2 + -1b2 = 0 -1a2 + 0 = -36 + 12b + -1b2 -1a2 = -36 + 12b + -1b2 Divide each side by '-1'. a2 = 36 + -12b + b2 Simplifying a2 = 36 + -12b + b2 Reorder the terms: -36 + a2 + 12b + -1b2 = 36 + -12b + b2 + -36 + 12b + -1b2 Reorder the terms: -36 + a2 + 12b + -1b2 = 36 + -36 + -12b + 12b + b2 + -1b2 Combine like terms: 36 + -36 = 0 -36 + a2 + 12b + -1b2 = 0 + -12b + 12b + b2 + -1b2 -36 + a2 + 12b + -1b2 = -12b + 12b + b2 + -1b2 Combine like terms: -12b + 12b = 0 -36 + a2 + 12b + -1b2 = 0 + b2 + -1b2 -36 + a2 + 12b + -1b2 = b2 + -1b2 Combine like terms: b2 + -1b2 = 0 -36 + a2 + 12b + -1b2 = 0 The solution to this equation could not be determined.
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