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Simplifying 2x2 + 2y2 + 20y + 10 = 0 Reorder the terms: 10 + 2x2 + 20y + 2y2 = 0 Solving 10 + 2x2 + 20y + 2y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 2x2 + 20y + -10 + 2y2 = 0 + -10 Reorder the terms: 10 + -10 + 2x2 + 20y + 2y2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2x2 + 20y + 2y2 = 0 + -10 2x2 + 20y + 2y2 = 0 + -10 Combine like terms: 0 + -10 = -10 2x2 + 20y + 2y2 = -10 Add '-20y' to each side of the equation. 2x2 + 20y + -20y + 2y2 = -10 + -20y Combine like terms: 20y + -20y = 0 2x2 + 0 + 2y2 = -10 + -20y 2x2 + 2y2 = -10 + -20y Add '-2y2' to each side of the equation. 2x2 + 2y2 + -2y2 = -10 + -20y + -2y2 Combine like terms: 2y2 + -2y2 = 0 2x2 + 0 = -10 + -20y + -2y2 2x2 = -10 + -20y + -2y2 Divide each side by '2'. x2 = -5 + -10y + -1y2 Simplifying x2 = -5 + -10y + -1y2 Reorder the terms: 5 + x2 + 10y + y2 = -5 + -10y + -1y2 + 5 + 10y + y2 Reorder the terms: 5 + x2 + 10y + y2 = -5 + 5 + -10y + 10y + -1y2 + y2 Combine like terms: -5 + 5 = 0 5 + x2 + 10y + y2 = 0 + -10y + 10y + -1y2 + y2 5 + x2 + 10y + y2 = -10y + 10y + -1y2 + y2 Combine like terms: -10y + 10y = 0 5 + x2 + 10y + y2 = 0 + -1y2 + y2 5 + x2 + 10y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 5 + x2 + 10y + y2 = 0 The solution to this equation could not be determined.
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