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