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Simplifying 4x2 + 4y2 + -16y + 16 = 0 Reorder the terms: 16 + 4x2 + -16y + 4y2 = 0 Solving 16 + 4x2 + -16y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 4x2 + -16y + -16 + 4y2 = 0 + -16 Reorder the terms: 16 + -16 + 4x2 + -16y + 4y2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 4x2 + -16y + 4y2 = 0 + -16 4x2 + -16y + 4y2 = 0 + -16 Combine like terms: 0 + -16 = -16 4x2 + -16y + 4y2 = -16 Add '16y' to each side of the equation. 4x2 + -16y + 16y + 4y2 = -16 + 16y Combine like terms: -16y + 16y = 0 4x2 + 0 + 4y2 = -16 + 16y 4x2 + 4y2 = -16 + 16y Add '-4y2' to each side of the equation. 4x2 + 4y2 + -4y2 = -16 + 16y + -4y2 Combine like terms: 4y2 + -4y2 = 0 4x2 + 0 = -16 + 16y + -4y2 4x2 = -16 + 16y + -4y2 Divide each side by '4'. x2 = -4 + 4y + -1y2 Simplifying x2 = -4 + 4y + -1y2 Reorder the terms: 4 + x2 + -4y + y2 = -4 + 4y + -1y2 + 4 + -4y + y2 Reorder the terms: 4 + x2 + -4y + y2 = -4 + 4 + 4y + -4y + -1y2 + y2 Combine like terms: -4 + 4 = 0 4 + x2 + -4y + y2 = 0 + 4y + -4y + -1y2 + y2 4 + x2 + -4y + y2 = 4y + -4y + -1y2 + y2 Combine like terms: 4y + -4y = 0 4 + x2 + -4y + y2 = 0 + -1y2 + y2 4 + x2 + -4y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 4 + x2 + -4y + y2 = 0 The solution to this equation could not be determined.
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