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Simplifying (5a + 4b)(x + y) = 0 Multiply (5a + 4b) * (x + y) (5a * (x + y) + 4b * (x + y)) = 0 ((x * 5a + y * 5a) + 4b * (x + y)) = 0 ((5ax + 5ay) + 4b * (x + y)) = 0 (5ax + 5ay + (x * 4b + y * 4b)) = 0 (5ax + 5ay + (4bx + 4by)) = 0 (5ax + 5ay + 4bx + 4by) = 0 Solving 5ax + 5ay + 4bx + 4by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4bx' to each side of the equation. 5ax + 5ay + 4bx + -4bx + 4by = 0 + -4bx Combine like terms: 4bx + -4bx = 0 5ax + 5ay + 0 + 4by = 0 + -4bx 5ax + 5ay + 4by = 0 + -4bx Remove the zero: 5ax + 5ay + 4by = -4bx Add '-4by' to each side of the equation. 5ax + 5ay + 4by + -4by = -4bx + -4by Combine like terms: 4by + -4by = 0 5ax + 5ay + 0 = -4bx + -4by 5ax + 5ay = -4bx + -4by Reorder the terms: 5ax + 5ay + 4bx + 4by = -4bx + 4bx + -4by + 4by Combine like terms: -4bx + 4bx = 0 5ax + 5ay + 4bx + 4by = 0 + -4by + 4by 5ax + 5ay + 4bx + 4by = -4by + 4by Combine like terms: -4by + 4by = 0 5ax + 5ay + 4bx + 4by = 0 The solution to this equation could not be determined.
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