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Simplifying (x + -1a)(x + a) = 0 Reorder the terms: (-1a + x)(x + a) = 0 Reorder the terms: (-1a + x)(a + x) = 0 Multiply (-1a + x) * (a + x) (-1a * (a + x) + x(a + x)) = 0 ((a * -1a + x * -1a) + x(a + x)) = 0 Reorder the terms: ((-1ax + -1a2) + x(a + x)) = 0 ((-1ax + -1a2) + x(a + x)) = 0 (-1ax + -1a2 + (a * x + x * x)) = 0 (-1ax + -1a2 + (ax + x2)) = 0 Reorder the terms: (-1ax + ax + -1a2 + x2) = 0 Combine like terms: -1ax + ax = 0 (0 + -1a2 + x2) = 0 (-1a2 + x2) = 0 Solving -1a2 + x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1x2' to each side of the equation. -1a2 + x2 + -1x2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 -1a2 + 0 = 0 + -1x2 -1a2 = 0 + -1x2 Remove the zero: -1a2 = -1x2 Divide each side by '-1'. a2 = x2 Simplifying a2 = x2 Take the square root of each side: a = {-1x, x}
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