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Simplifying y2 + -8y + 8x + 32 = 0 Reorder the terms: 32 + 8x + -8y + y2 = 0 Solving 32 + 8x + -8y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 8x + -8y + -32 + y2 = 0 + -32 Reorder the terms: 32 + -32 + 8x + -8y + y2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 8x + -8y + y2 = 0 + -32 8x + -8y + y2 = 0 + -32 Combine like terms: 0 + -32 = -32 8x + -8y + y2 = -32 Add '8y' to each side of the equation. 8x + -8y + 8y + y2 = -32 + 8y Combine like terms: -8y + 8y = 0 8x + 0 + y2 = -32 + 8y 8x + y2 = -32 + 8y Add '-1y2' to each side of the equation. 8x + y2 + -1y2 = -32 + 8y + -1y2 Combine like terms: y2 + -1y2 = 0 8x + 0 = -32 + 8y + -1y2 8x = -32 + 8y + -1y2 Divide each side by '8'. x = -4 + y + -0.125y2 Simplifying x = -4 + y + -0.125y2
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