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Simplifying 4x2 + 4y2 + 20y + -11 = 0 Reorder the terms: -11 + 4x2 + 20y + 4y2 = 0 Solving -11 + 4x2 + 20y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 4x2 + 20y + 11 + 4y2 = 0 + 11 Reorder the terms: -11 + 11 + 4x2 + 20y + 4y2 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 4x2 + 20y + 4y2 = 0 + 11 4x2 + 20y + 4y2 = 0 + 11 Combine like terms: 0 + 11 = 11 4x2 + 20y + 4y2 = 11 Add '-20y' to each side of the equation. 4x2 + 20y + -20y + 4y2 = 11 + -20y Combine like terms: 20y + -20y = 0 4x2 + 0 + 4y2 = 11 + -20y 4x2 + 4y2 = 11 + -20y Add '-4y2' to each side of the equation. 4x2 + 4y2 + -4y2 = 11 + -20y + -4y2 Combine like terms: 4y2 + -4y2 = 0 4x2 + 0 = 11 + -20y + -4y2 4x2 = 11 + -20y + -4y2 Divide each side by '4'. x2 = 2.75 + -5y + -1y2 Simplifying x2 = 2.75 + -5y + -1y2 Reorder the terms: -2.75 + x2 + 5y + y2 = 2.75 + -5y + -1y2 + -2.75 + 5y + y2 Reorder the terms: -2.75 + x2 + 5y + y2 = 2.75 + -2.75 + -5y + 5y + -1y2 + y2 Combine like terms: 2.75 + -2.75 = 0.00 -2.75 + x2 + 5y + y2 = 0.00 + -5y + 5y + -1y2 + y2 -2.75 + x2 + 5y + y2 = -5y + 5y + -1y2 + y2 Combine like terms: -5y + 5y = 0 -2.75 + x2 + 5y + y2 = 0 + -1y2 + y2 -2.75 + x2 + 5y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -2.75 + x2 + 5y + y2 = 0 The solution to this equation could not be determined.
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