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Simplifying 4x2 + 4y2 + 24y + 11 = 0 Reorder the terms: 11 + 4x2 + 24y + 4y2 = 0 Solving 11 + 4x2 + 24y + 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 + 24y + -11 + 4y2 = 0 + -11 Reorder the terms: 11 + -11 + 4x2 + 24y + 4y2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4x2 + 24y + 4y2 = 0 + -11 4x2 + 24y + 4y2 = 0 + -11 Combine like terms: 0 + -11 = -11 4x2 + 24y + 4y2 = -11 Add '-24y' to each side of the equation. 4x2 + 24y + -24y + 4y2 = -11 + -24y Combine like terms: 24y + -24y = 0 4x2 + 0 + 4y2 = -11 + -24y 4x2 + 4y2 = -11 + -24y Add '-4y2' to each side of the equation. 4x2 + 4y2 + -4y2 = -11 + -24y + -4y2 Combine like terms: 4y2 + -4y2 = 0 4x2 + 0 = -11 + -24y + -4y2 4x2 = -11 + -24y + -4y2 Divide each side by '4'. x2 = -2.75 + -6y + -1y2 Simplifying x2 = -2.75 + -6y + -1y2 Reorder the terms: 2.75 + x2 + 6y + y2 = -2.75 + -6y + -1y2 + 2.75 + 6y + y2 Reorder the terms: 2.75 + x2 + 6y + y2 = -2.75 + 2.75 + -6y + 6y + -1y2 + y2 Combine like terms: -2.75 + 2.75 = 0.00 2.75 + x2 + 6y + y2 = 0.00 + -6y + 6y + -1y2 + y2 2.75 + x2 + 6y + y2 = -6y + 6y + -1y2 + y2 Combine like terms: -6y + 6y = 0 2.75 + x2 + 6y + y2 = 0 + -1y2 + y2 2.75 + x2 + 6y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 2.75 + x2 + 6y + y2 = 0 The solution to this equation could not be determined.
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