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Simplifying (x + -1y)(a + -1b) = 0 Multiply (x + -1y) * (a + -1b) (x(a + -1b) + -1y * (a + -1b)) = 0 ((a * x + -1b * x) + -1y * (a + -1b)) = 0 ((ax + -1bx) + -1y * (a + -1b)) = 0 (ax + -1bx + (a * -1y + -1b * -1y)) = 0 (ax + -1bx + (-1ay + 1by)) = 0 Reorder the terms: (ax + -1ay + -1bx + 1by) = 0 (ax + -1ay + -1bx + 1by) = 0 Solving ax + -1ay + -1bx + 1by = 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. ax + -1ay + -1bx + bx + 1by = 0 + bx Combine like terms: -1bx + bx = 0 ax + -1ay + 0 + 1by = 0 + bx ax + -1ay + 1by = 0 + bx Remove the zero: ax + -1ay + 1by = bx Add '-1by' to each side of the equation. ax + -1ay + 1by + -1by = bx + -1by Combine like terms: 1by + -1by = 0 ax + -1ay + 0 = bx + -1by ax + -1ay = bx + -1by Reorder the terms: ax + -1ay + -1bx + by = bx + -1bx + -1by + by Combine like terms: bx + -1bx = 0 ax + -1ay + -1bx + by = 0 + -1by + by ax + -1ay + -1bx + by = -1by + by Combine like terms: -1by + by = 0 ax + -1ay + -1bx + by = 0 The solution to this equation could not be determined.
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