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Simplifying 4x2 + -4y2 + -4y + -1 = 0 Reorder the terms: -1 + 4x2 + -4y + -4y2 = 0 Solving -1 + 4x2 + -4y + -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 + -4y + 1 + -4y2 = 0 + 1 Reorder the terms: -1 + 1 + 4x2 + -4y + -4y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4x2 + -4y + -4y2 = 0 + 1 4x2 + -4y + -4y2 = 0 + 1 Combine like terms: 0 + 1 = 1 4x2 + -4y + -4y2 = 1 Add '4y' to each side of the equation. 4x2 + -4y + 4y + -4y2 = 1 + 4y Combine like terms: -4y + 4y = 0 4x2 + 0 + -4y2 = 1 + 4y 4x2 + -4y2 = 1 + 4y Add '4y2' to each side of the equation. 4x2 + -4y2 + 4y2 = 1 + 4y + 4y2 Combine like terms: -4y2 + 4y2 = 0 4x2 + 0 = 1 + 4y + 4y2 4x2 = 1 + 4y + 4y2 Divide each side by '4'. x2 = 0.25 + y + y2 Simplifying x2 = 0.25 + y + y2 Reorder the terms: -0.25 + x2 + -1y + -1y2 = 0.25 + y + y2 + -0.25 + -1y + -1y2 Reorder the terms: -0.25 + x2 + -1y + -1y2 = 0.25 + -0.25 + y + -1y + y2 + -1y2 Combine like terms: 0.25 + -0.25 = 0.00 -0.25 + x2 + -1y + -1y2 = 0.00 + y + -1y + y2 + -1y2 -0.25 + x2 + -1y + -1y2 = y + -1y + y2 + -1y2 Combine like terms: y + -1y = 0 -0.25 + x2 + -1y + -1y2 = 0 + y2 + -1y2 -0.25 + x2 + -1y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -0.25 + x2 + -1y + -1y2 = 0 The solution to this equation could not be determined.
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