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