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Simplifying (x + -1y)(2a + -5b) = 0 Multiply (x + -1y) * (2a + -5b) (x(2a + -5b) + -1y * (2a + -5b)) = 0 ((2a * x + -5b * x) + -1y * (2a + -5b)) = 0 ((2ax + -5bx) + -1y * (2a + -5b)) = 0 (2ax + -5bx + (2a * -1y + -5b * -1y)) = 0 (2ax + -5bx + (-2ay + 5by)) = 0 Reorder the terms: (2ax + -2ay + -5bx + 5by) = 0 (2ax + -2ay + -5bx + 5by) = 0 Solving 2ax + -2ay + -5bx + 5by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5bx' to each side of the equation. 2ax + -2ay + -5bx + 5bx + 5by = 0 + 5bx Combine like terms: -5bx + 5bx = 0 2ax + -2ay + 0 + 5by = 0 + 5bx 2ax + -2ay + 5by = 0 + 5bx Remove the zero: 2ax + -2ay + 5by = 5bx Add '-5by' to each side of the equation. 2ax + -2ay + 5by + -5by = 5bx + -5by Combine like terms: 5by + -5by = 0 2ax + -2ay + 0 = 5bx + -5by 2ax + -2ay = 5bx + -5by Reorder the terms: 2ax + -2ay + -5bx + 5by = 5bx + -5bx + -5by + 5by Combine like terms: 5bx + -5bx = 0 2ax + -2ay + -5bx + 5by = 0 + -5by + 5by 2ax + -2ay + -5bx + 5by = -5by + 5by Combine like terms: -5by + 5by = 0 2ax + -2ay + -5bx + 5by = 0 The solution to this equation could not be determined.
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