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Simplifying (a + 2b)(x + y) = 0 Multiply (a + 2b) * (x + y) (a(x + y) + 2b * (x + y)) = 0 ((x * a + y * a) + 2b * (x + y)) = 0 ((ax + ay) + 2b * (x + y)) = 0 (ax + ay + (x * 2b + y * 2b)) = 0 (ax + ay + (2bx + 2by)) = 0 (ax + ay + 2bx + 2by) = 0 Solving ax + ay + 2bx + 2by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2bx' to each side of the equation. ax + ay + 2bx + -2bx + 2by = 0 + -2bx Combine like terms: 2bx + -2bx = 0 ax + ay + 0 + 2by = 0 + -2bx ax + ay + 2by = 0 + -2bx Remove the zero: ax + ay + 2by = -2bx Add '-2by' to each side of the equation. ax + ay + 2by + -2by = -2bx + -2by Combine like terms: 2by + -2by = 0 ax + ay + 0 = -2bx + -2by ax + ay = -2bx + -2by Reorder the terms: ax + ay + 2bx + 2by = -2bx + 2bx + -2by + 2by Combine like terms: -2bx + 2bx = 0 ax + ay + 2bx + 2by = 0 + -2by + 2by ax + ay + 2bx + 2by = -2by + 2by Combine like terms: -2by + 2by = 0 ax + ay + 2bx + 2by = 0 The solution to this equation could not be determined.
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