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Simplifying (ax + by)(cx + y) = 0 Multiply (ax + by) * (cx + y) (ax(cx + y) + by(cx + y)) = 0 ((cx * ax + y * ax) + by(cx + y)) = 0 ((acx2 + axy) + by(cx + y)) = 0 (acx2 + axy + (cx * by + y * by)) = 0 (acx2 + axy + (bcxy + by2)) = 0 (acx2 + axy + bcxy + by2) = 0 Solving acx2 + axy + bcxy + by2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bcxy' to each side of the equation. acx2 + axy + bcxy + -1bcxy + by2 = 0 + -1bcxy Combine like terms: bcxy + -1bcxy = 0 acx2 + axy + 0 + by2 = 0 + -1bcxy acx2 + axy + by2 = 0 + -1bcxy Remove the zero: acx2 + axy + by2 = -1bcxy Add '-1by2' to each side of the equation. acx2 + axy + by2 + -1by2 = -1bcxy + -1by2 Combine like terms: by2 + -1by2 = 0 acx2 + axy + 0 = -1bcxy + -1by2 acx2 + axy = -1bcxy + -1by2 Reorder the terms: acx2 + axy + bcxy + by2 = -1bcxy + bcxy + -1by2 + by2 Combine like terms: -1bcxy + bcxy = 0 acx2 + axy + bcxy + by2 = 0 + -1by2 + by2 acx2 + axy + bcxy + by2 = -1by2 + by2 Combine like terms: -1by2 + by2 = 0 acx2 + axy + bcxy + by2 = 0 The solution to this equation could not be determined.
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