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Simplifying x2 + 2xy + y2 + -2ax3 = 0 Reorder the terms: -2ax3 + 2xy + x2 + y2 = 0 Solving -2ax3 + 2xy + x2 + y2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2xy' to each side of the equation. -2ax3 + 2xy + x2 + -2xy + y2 = 0 + -2xy Reorder the terms: -2ax3 + 2xy + -2xy + x2 + y2 = 0 + -2xy Combine like terms: 2xy + -2xy = 0 -2ax3 + 0 + x2 + y2 = 0 + -2xy -2ax3 + x2 + y2 = 0 + -2xy Remove the zero: -2ax3 + x2 + y2 = -2xy Add '-1x2' to each side of the equation. -2ax3 + x2 + -1x2 + y2 = -2xy + -1x2 Combine like terms: x2 + -1x2 = 0 -2ax3 + 0 + y2 = -2xy + -1x2 -2ax3 + y2 = -2xy + -1x2 Add '-1y2' to each side of the equation. -2ax3 + y2 + -1y2 = -2xy + -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 -2ax3 + 0 = -2xy + -1x2 + -1y2 -2ax3 = -2xy + -1x2 + -1y2 Divide each side by '-2x3'. a = x-2y + 0.5x-1 + 0.5x-3y2 Simplifying a = x-2y + 0.5x-1 + 0.5x-3y2 Reorder the terms: a = 0.5x-3y2 + x-2y + 0.5x-1
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