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Simplifying 4x2 + 4y2 + -24y + 1 = 0 Reorder the terms: 1 + 4x2 + -24y + 4y2 = 0 Solving 1 + 4x2 + -24y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4x2 + -24y + -1 + 4y2 = 0 + -1 Reorder the terms: 1 + -1 + 4x2 + -24y + 4y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x2 + -24y + 4y2 = 0 + -1 4x2 + -24y + 4y2 = 0 + -1 Combine like terms: 0 + -1 = -1 4x2 + -24y + 4y2 = -1 Add '24y' to each side of the equation. 4x2 + -24y + 24y + 4y2 = -1 + 24y Combine like terms: -24y + 24y = 0 4x2 + 0 + 4y2 = -1 + 24y 4x2 + 4y2 = -1 + 24y Add '-4y2' to each side of the equation. 4x2 + 4y2 + -4y2 = -1 + 24y + -4y2 Combine like terms: 4y2 + -4y2 = 0 4x2 + 0 = -1 + 24y + -4y2 4x2 = -1 + 24y + -4y2 Divide each side by '4'. x2 = -0.25 + 6y + -1y2 Simplifying x2 = -0.25 + 6y + -1y2 Reorder the terms: 0.25 + x2 + -6y + y2 = -0.25 + 6y + -1y2 + 0.25 + -6y + y2 Reorder the terms: 0.25 + x2 + -6y + y2 = -0.25 + 0.25 + 6y + -6y + -1y2 + y2 Combine like terms: -0.25 + 0.25 = 0.00 0.25 + x2 + -6y + y2 = 0.00 + 6y + -6y + -1y2 + y2 0.25 + x2 + -6y + y2 = 6y + -6y + -1y2 + y2 Combine like terms: 6y + -6y = 0 0.25 + x2 + -6y + y2 = 0 + -1y2 + y2 0.25 + x2 + -6y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 0.25 + x2 + -6y + y2 = 0 The solution to this equation could not be determined.
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