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