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Simplifying 4y(2x + ay) + -2y(2y + bx) = 0 Reorder the terms: 4y(ay + 2x) + -2y(2y + bx) = 0 (ay * 4y + 2x * 4y) + -2y(2y + bx) = 0 (4ay2 + 8xy) + -2y(2y + bx) = 0 Reorder the terms: 4ay2 + 8xy + -2y(bx + 2y) = 0 4ay2 + 8xy + (bx * -2y + 2y * -2y) = 0 4ay2 + 8xy + (-2bxy + -4y2) = 0 Reorder the terms: 4ay2 + -2bxy + 8xy + -4y2 = 0 Solving 4ay2 + -2bxy + 8xy + -4y2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2bxy' to each side of the equation. 4ay2 + -2bxy + 8xy + 2bxy + -4y2 = 0 + 2bxy Reorder the terms: 4ay2 + -2bxy + 2bxy + 8xy + -4y2 = 0 + 2bxy Combine like terms: -2bxy + 2bxy = 0 4ay2 + 0 + 8xy + -4y2 = 0 + 2bxy 4ay2 + 8xy + -4y2 = 0 + 2bxy Remove the zero: 4ay2 + 8xy + -4y2 = 2bxy Add '-8xy' to each side of the equation. 4ay2 + 8xy + -8xy + -4y2 = 2bxy + -8xy Combine like terms: 8xy + -8xy = 0 4ay2 + 0 + -4y2 = 2bxy + -8xy 4ay2 + -4y2 = 2bxy + -8xy Add '4y2' to each side of the equation. 4ay2 + -4y2 + 4y2 = 2bxy + -8xy + 4y2 Combine like terms: -4y2 + 4y2 = 0 4ay2 + 0 = 2bxy + -8xy + 4y2 4ay2 = 2bxy + -8xy + 4y2 Divide each side by '4y2'. a = 0.5bxy-1 + -2xy-1 + 1 Simplifying a = 0.5bxy-1 + -2xy-1 + 1 Reorder the terms: a = 1 + 0.5bxy-1 + -2xy-1
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