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