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Simplifying x(x + -1a) + -1b(a + b) = 0 Reorder the terms: x(-1a + x) + -1b(a + b) = 0 (-1a * x + x * x) + -1b(a + b) = 0 (-1ax + x2) + -1b(a + b) = 0 -1ax + x2 + (a * -1b + b * -1b) = 0 -1ax + x2 + (-1ab + -1b2) = 0 Reorder the terms: -1ab + -1ax + -1b2 + x2 = 0 Solving -1ab + -1ax + -1b2 + x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b2' to each side of the equation. -1ab + -1ax + -1b2 + b2 + x2 = 0 + b2 Combine like terms: -1b2 + b2 = 0 -1ab + -1ax + 0 + x2 = 0 + b2 -1ab + -1ax + x2 = 0 + b2 Remove the zero: -1ab + -1ax + x2 = b2 Add '-1x2' to each side of the equation. -1ab + -1ax + x2 + -1x2 = b2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1ab + -1ax + 0 = b2 + -1x2 -1ab + -1ax = b2 + -1x2 Reorder the terms: -1ab + -1ax + -1b2 + x2 = b2 + -1b2 + -1x2 + x2 Combine like terms: b2 + -1b2 = 0 -1ab + -1ax + -1b2 + x2 = 0 + -1x2 + x2 -1ab + -1ax + -1b2 + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -1ab + -1ax + -1b2 + x2 = 0 The solution to this equation could not be determined.
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