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Simplifying 4y2 + -24y + 4x2 + 32 = 0 Reorder the terms: 32 + 4x2 + -24y + 4y2 = 0 Solving 32 + 4x2 + -24y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 4x2 + -24y + -32 + 4y2 = 0 + -32 Reorder the terms: 32 + -32 + 4x2 + -24y + 4y2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 4x2 + -24y + 4y2 = 0 + -32 4x2 + -24y + 4y2 = 0 + -32 Combine like terms: 0 + -32 = -32 4x2 + -24y + 4y2 = -32 Add '24y' to each side of the equation. 4x2 + -24y + 24y + 4y2 = -32 + 24y Combine like terms: -24y + 24y = 0 4x2 + 0 + 4y2 = -32 + 24y 4x2 + 4y2 = -32 + 24y Add '-4y2' to each side of the equation. 4x2 + 4y2 + -4y2 = -32 + 24y + -4y2 Combine like terms: 4y2 + -4y2 = 0 4x2 + 0 = -32 + 24y + -4y2 4x2 = -32 + 24y + -4y2 Divide each side by '4'. x2 = -8 + 6y + -1y2 Simplifying x2 = -8 + 6y + -1y2 Reorder the terms: 8 + x2 + -6y + y2 = -8 + 6y + -1y2 + 8 + -6y + y2 Reorder the terms: 8 + x2 + -6y + y2 = -8 + 8 + 6y + -6y + -1y2 + y2 Combine like terms: -8 + 8 = 0 8 + x2 + -6y + y2 = 0 + 6y + -6y + -1y2 + y2 8 + x2 + -6y + y2 = 6y + -6y + -1y2 + y2 Combine like terms: 6y + -6y = 0 8 + x2 + -6y + y2 = 0 + -1y2 + y2 8 + x2 + -6y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 8 + x2 + -6y + y2 = 0 The solution to this equation could not be determined.
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