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Simplifying 2y2 + 8x + 2y2 + -12y + -10 = 0 Reorder the terms: -10 + 8x + -12y + 2y2 + 2y2 = 0 Combine like terms: 2y2 + 2y2 = 4y2 -10 + 8x + -12y + 4y2 = 0 Solving -10 + 8x + -12y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 8x + -12y + 10 + 4y2 = 0 + 10 Reorder the terms: -10 + 10 + 8x + -12y + 4y2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 8x + -12y + 4y2 = 0 + 10 8x + -12y + 4y2 = 0 + 10 Combine like terms: 0 + 10 = 10 8x + -12y + 4y2 = 10 Add '12y' to each side of the equation. 8x + -12y + 12y + 4y2 = 10 + 12y Combine like terms: -12y + 12y = 0 8x + 0 + 4y2 = 10 + 12y 8x + 4y2 = 10 + 12y Add '-4y2' to each side of the equation. 8x + 4y2 + -4y2 = 10 + 12y + -4y2 Combine like terms: 4y2 + -4y2 = 0 8x + 0 = 10 + 12y + -4y2 8x = 10 + 12y + -4y2 Divide each side by '8'. x = 1.25 + 1.5y + -0.5y2 Simplifying x = 1.25 + 1.5y + -0.5y2
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