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Simplifying 4y2 + -16y + 16x + 32 = 0 Reorder the terms: 32 + 16x + -16y + 4y2 = 0 Solving 32 + 16x + -16y + 4y2 = 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 + 16x + -16y + -32 + 4y2 = 0 + -32 Reorder the terms: 32 + -32 + 16x + -16y + 4y2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 16x + -16y + 4y2 = 0 + -32 16x + -16y + 4y2 = 0 + -32 Combine like terms: 0 + -32 = -32 16x + -16y + 4y2 = -32 Add '16y' to each side of the equation. 16x + -16y + 16y + 4y2 = -32 + 16y Combine like terms: -16y + 16y = 0 16x + 0 + 4y2 = -32 + 16y 16x + 4y2 = -32 + 16y Add '-4y2' to each side of the equation. 16x + 4y2 + -4y2 = -32 + 16y + -4y2 Combine like terms: 4y2 + -4y2 = 0 16x + 0 = -32 + 16y + -4y2 16x = -32 + 16y + -4y2 Divide each side by '16'. x = -2 + y + -0.25y2 Simplifying x = -2 + y + -0.25y2
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