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