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Simplifying y2 + 8y + -16x + 48 = 0 Reorder the terms: 48 + -16x + 8y + y2 = 0 Solving 48 + -16x + 8y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -16x + 8y + -48 + y2 = 0 + -48 Reorder the terms: 48 + -48 + -16x + 8y + y2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -16x + 8y + y2 = 0 + -48 -16x + 8y + y2 = 0 + -48 Combine like terms: 0 + -48 = -48 -16x + 8y + y2 = -48 Add '-8y' to each side of the equation. -16x + 8y + -8y + y2 = -48 + -8y Combine like terms: 8y + -8y = 0 -16x + 0 + y2 = -48 + -8y -16x + y2 = -48 + -8y Add '-1y2' to each side of the equation. -16x + y2 + -1y2 = -48 + -8y + -1y2 Combine like terms: y2 + -1y2 = 0 -16x + 0 = -48 + -8y + -1y2 -16x = -48 + -8y + -1y2 Divide each side by '-16'. x = 3 + 0.5y + 0.0625y2 Simplifying x = 3 + 0.5y + 0.0625y2
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