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Simplifying 4x2 + 9y2 + -18y + -27 = 0 Reorder the terms: -27 + 4x2 + -18y + 9y2 = 0 Solving -27 + 4x2 + -18y + 9y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 4x2 + -18y + 27 + 9y2 = 0 + 27 Reorder the terms: -27 + 27 + 4x2 + -18y + 9y2 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 4x2 + -18y + 9y2 = 0 + 27 4x2 + -18y + 9y2 = 0 + 27 Combine like terms: 0 + 27 = 27 4x2 + -18y + 9y2 = 27 Add '18y' to each side of the equation. 4x2 + -18y + 18y + 9y2 = 27 + 18y Combine like terms: -18y + 18y = 0 4x2 + 0 + 9y2 = 27 + 18y 4x2 + 9y2 = 27 + 18y Add '-9y2' to each side of the equation. 4x2 + 9y2 + -9y2 = 27 + 18y + -9y2 Combine like terms: 9y2 + -9y2 = 0 4x2 + 0 = 27 + 18y + -9y2 4x2 = 27 + 18y + -9y2 Divide each side by '4'. x2 = 6.75 + 4.5y + -2.25y2 Simplifying x2 = 6.75 + 4.5y + -2.25y2 Reorder the terms: -6.75 + x2 + -4.5y + 2.25y2 = 6.75 + 4.5y + -2.25y2 + -6.75 + -4.5y + 2.25y2 Reorder the terms: -6.75 + x2 + -4.5y + 2.25y2 = 6.75 + -6.75 + 4.5y + -4.5y + -2.25y2 + 2.25y2 Combine like terms: 6.75 + -6.75 = 0.00 -6.75 + x2 + -4.5y + 2.25y2 = 0.00 + 4.5y + -4.5y + -2.25y2 + 2.25y2 -6.75 + x2 + -4.5y + 2.25y2 = 4.5y + -4.5y + -2.25y2 + 2.25y2 Combine like terms: 4.5y + -4.5y = 0.0 -6.75 + x2 + -4.5y + 2.25y2 = 0.0 + -2.25y2 + 2.25y2 -6.75 + x2 + -4.5y + 2.25y2 = -2.25y2 + 2.25y2 Combine like terms: -2.25y2 + 2.25y2 = 0.00 -6.75 + x2 + -4.5y + 2.25y2 = 0.00 The solution to this equation could not be determined.
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