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Simplifying 2x2 + 2y2 + 4y = 16 Reorder the terms: 2x2 + 4y + 2y2 = 16 Solving 2x2 + 4y + 2y2 = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 2x2 + 4y + -4y + 2y2 = 16 + -4y Combine like terms: 4y + -4y = 0 2x2 + 0 + 2y2 = 16 + -4y 2x2 + 2y2 = 16 + -4y Add '-2y2' to each side of the equation. 2x2 + 2y2 + -2y2 = 16 + -4y + -2y2 Combine like terms: 2y2 + -2y2 = 0 2x2 + 0 = 16 + -4y + -2y2 2x2 = 16 + -4y + -2y2 Divide each side by '2'. x2 = 8 + -2y + -1y2 Simplifying x2 = 8 + -2y + -1y2 Reorder the terms: -8 + x2 + 2y + y2 = 8 + -2y + -1y2 + -8 + 2y + y2 Reorder the terms: -8 + x2 + 2y + y2 = 8 + -8 + -2y + 2y + -1y2 + y2 Combine like terms: 8 + -8 = 0 -8 + x2 + 2y + y2 = 0 + -2y + 2y + -1y2 + y2 -8 + x2 + 2y + y2 = -2y + 2y + -1y2 + y2 Combine like terms: -2y + 2y = 0 -8 + x2 + 2y + y2 = 0 + -1y2 + y2 -8 + x2 + 2y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -8 + x2 + 2y + y2 = 0 The solution to this equation could not be determined.
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