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