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Simplifying 2x2 + 10y2 + 40y + -20 = 0 Reorder the terms: -20 + 2x2 + 40y + 10y2 = 0 Solving -20 + 2x2 + 40y + 10y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 2x2 + 40y + 20 + 10y2 = 0 + 20 Reorder the terms: -20 + 20 + 2x2 + 40y + 10y2 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 2x2 + 40y + 10y2 = 0 + 20 2x2 + 40y + 10y2 = 0 + 20 Combine like terms: 0 + 20 = 20 2x2 + 40y + 10y2 = 20 Add '-40y' to each side of the equation. 2x2 + 40y + -40y + 10y2 = 20 + -40y Combine like terms: 40y + -40y = 0 2x2 + 0 + 10y2 = 20 + -40y 2x2 + 10y2 = 20 + -40y Add '-10y2' to each side of the equation. 2x2 + 10y2 + -10y2 = 20 + -40y + -10y2 Combine like terms: 10y2 + -10y2 = 0 2x2 + 0 = 20 + -40y + -10y2 2x2 = 20 + -40y + -10y2 Divide each side by '2'. x2 = 10 + -20y + -5y2 Simplifying x2 = 10 + -20y + -5y2 Reorder the terms: -10 + x2 + 20y + 5y2 = 10 + -20y + -5y2 + -10 + 20y + 5y2 Reorder the terms: -10 + x2 + 20y + 5y2 = 10 + -10 + -20y + 20y + -5y2 + 5y2 Combine like terms: 10 + -10 = 0 -10 + x2 + 20y + 5y2 = 0 + -20y + 20y + -5y2 + 5y2 -10 + x2 + 20y + 5y2 = -20y + 20y + -5y2 + 5y2 Combine like terms: -20y + 20y = 0 -10 + x2 + 20y + 5y2 = 0 + -5y2 + 5y2 -10 + x2 + 20y + 5y2 = -5y2 + 5y2 Combine like terms: -5y2 + 5y2 = 0 -10 + x2 + 20y + 5y2 = 0 The solution to this equation could not be determined.
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