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Simplifying (ax + by)(cx + y) = x Multiply (ax + by) * (cx + y) (ax(cx + y) + by(cx + y)) = x ((cx * ax + y * ax) + by(cx + y)) = x ((acx2 + axy) + by(cx + y)) = x (acx2 + axy + (cx * by + y * by)) = x (acx2 + axy + (bcxy + by2)) = x (acx2 + axy + bcxy + by2) = x Solving acx2 + axy + bcxy + by2 = x 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 = -1bcxy + x Combine like terms: bcxy + -1bcxy = 0 acx2 + axy + 0 + by2 = -1bcxy + x acx2 + axy + by2 = -1bcxy + x Add '-1by2' to each side of the equation. acx2 + axy + by2 + -1by2 = -1bcxy + -1by2 + x Combine like terms: by2 + -1by2 = 0 acx2 + axy + 0 = -1bcxy + -1by2 + x acx2 + axy = -1bcxy + -1by2 + x Reorder the terms: acx2 + axy + bcxy + by2 + -1x = -1bcxy + bcxy + -1by2 + by2 + x + -1x Combine like terms: -1bcxy + bcxy = 0 acx2 + axy + bcxy + by2 + -1x = 0 + -1by2 + by2 + x + -1x acx2 + axy + bcxy + by2 + -1x = -1by2 + by2 + x + -1x Combine like terms: -1by2 + by2 = 0 acx2 + axy + bcxy + by2 + -1x = 0 + x + -1x acx2 + axy + bcxy + by2 + -1x = x + -1x Combine like terms: x + -1x = 0 acx2 + axy + bcxy + by2 + -1x = 0 The solution to this equation could not be determined.
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