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Simplifying 4x2 + 4y2 + 32y + 36 = 0 Reorder the terms: 36 + 4x2 + 32y + 4y2 = 0 Solving 36 + 4x2 + 32y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 4x2 + 32y + -36 + 4y2 = 0 + -36 Reorder the terms: 36 + -36 + 4x2 + 32y + 4y2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 4x2 + 32y + 4y2 = 0 + -36 4x2 + 32y + 4y2 = 0 + -36 Combine like terms: 0 + -36 = -36 4x2 + 32y + 4y2 = -36 Add '-32y' to each side of the equation. 4x2 + 32y + -32y + 4y2 = -36 + -32y Combine like terms: 32y + -32y = 0 4x2 + 0 + 4y2 = -36 + -32y 4x2 + 4y2 = -36 + -32y Add '-4y2' to each side of the equation. 4x2 + 4y2 + -4y2 = -36 + -32y + -4y2 Combine like terms: 4y2 + -4y2 = 0 4x2 + 0 = -36 + -32y + -4y2 4x2 = -36 + -32y + -4y2 Divide each side by '4'. x2 = -9 + -8y + -1y2 Simplifying x2 = -9 + -8y + -1y2 Reorder the terms: 9 + x2 + 8y + y2 = -9 + -8y + -1y2 + 9 + 8y + y2 Reorder the terms: 9 + x2 + 8y + y2 = -9 + 9 + -8y + 8y + -1y2 + y2 Combine like terms: -9 + 9 = 0 9 + x2 + 8y + y2 = 0 + -8y + 8y + -1y2 + y2 9 + x2 + 8y + y2 = -8y + 8y + -1y2 + y2 Combine like terms: -8y + 8y = 0 9 + x2 + 8y + y2 = 0 + -1y2 + y2 9 + x2 + 8y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 9 + x2 + 8y + y2 = 0 The solution to this equation could not be determined.
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