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Simplifying 2x2 + 2y2 + 14y + 6y + 2 = 0 Reorder the terms: 2 + 2x2 + 14y + 6y + 2y2 = 0 Combine like terms: 14y + 6y = 20y 2 + 2x2 + 20y + 2y2 = 0 Solving 2 + 2x2 + 20y + 2y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2x2 + 20y + -2 + 2y2 = 0 + -2 Reorder the terms: 2 + -2 + 2x2 + 20y + 2y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x2 + 20y + 2y2 = 0 + -2 2x2 + 20y + 2y2 = 0 + -2 Combine like terms: 0 + -2 = -2 2x2 + 20y + 2y2 = -2 Add '-20y' to each side of the equation. 2x2 + 20y + -20y + 2y2 = -2 + -20y Combine like terms: 20y + -20y = 0 2x2 + 0 + 2y2 = -2 + -20y 2x2 + 2y2 = -2 + -20y Add '-2y2' to each side of the equation. 2x2 + 2y2 + -2y2 = -2 + -20y + -2y2 Combine like terms: 2y2 + -2y2 = 0 2x2 + 0 = -2 + -20y + -2y2 2x2 = -2 + -20y + -2y2 Divide each side by '2'. x2 = -1 + -10y + -1y2 Simplifying x2 = -1 + -10y + -1y2 Reorder the terms: 1 + x2 + 10y + y2 = -1 + -10y + -1y2 + 1 + 10y + y2 Reorder the terms: 1 + x2 + 10y + y2 = -1 + 1 + -10y + 10y + -1y2 + y2 Combine like terms: -1 + 1 = 0 1 + x2 + 10y + y2 = 0 + -10y + 10y + -1y2 + y2 1 + x2 + 10y + y2 = -10y + 10y + -1y2 + y2 Combine like terms: -10y + 10y = 0 1 + x2 + 10y + y2 = 0 + -1y2 + y2 1 + x2 + 10y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 1 + x2 + 10y + y2 = 0 The solution to this equation could not be determined.
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