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Simplifying 4x2 + 4y2 + 4y + -15 = 0 Reorder the terms: -15 + 4x2 + 4y + 4y2 = 0 Solving -15 + 4x2 + 4y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 4x2 + 4y + 15 + 4y2 = 0 + 15 Reorder the terms: -15 + 15 + 4x2 + 4y + 4y2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 4x2 + 4y + 4y2 = 0 + 15 4x2 + 4y + 4y2 = 0 + 15 Combine like terms: 0 + 15 = 15 4x2 + 4y + 4y2 = 15 Add '-4y' to each side of the equation. 4x2 + 4y + -4y + 4y2 = 15 + -4y Combine like terms: 4y + -4y = 0 4x2 + 0 + 4y2 = 15 + -4y 4x2 + 4y2 = 15 + -4y Add '-4y2' to each side of the equation. 4x2 + 4y2 + -4y2 = 15 + -4y + -4y2 Combine like terms: 4y2 + -4y2 = 0 4x2 + 0 = 15 + -4y + -4y2 4x2 = 15 + -4y + -4y2 Divide each side by '4'. x2 = 3.75 + -1y + -1y2 Simplifying x2 = 3.75 + -1y + -1y2 Reorder the terms: -3.75 + x2 + y + y2 = 3.75 + -1y + -1y2 + -3.75 + y + y2 Reorder the terms: -3.75 + x2 + y + y2 = 3.75 + -3.75 + -1y + y + -1y2 + y2 Combine like terms: 3.75 + -3.75 = 0.00 -3.75 + x2 + y + y2 = 0.00 + -1y + y + -1y2 + y2 -3.75 + x2 + y + y2 = -1y + y + -1y2 + y2 Combine like terms: -1y + y = 0 -3.75 + x2 + y + y2 = 0 + -1y2 + y2 -3.75 + x2 + y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -3.75 + x2 + y + y2 = 0 The solution to this equation could not be determined.
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