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