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Simplifying 4x2 + y2 + -6y + -27 = 0 Reorder the terms: -27 + 4x2 + -6y + y2 = 0 Solving -27 + 4x2 + -6y + y2 = 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 + -6y + 27 + y2 = 0 + 27 Reorder the terms: -27 + 27 + 4x2 + -6y + y2 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 4x2 + -6y + y2 = 0 + 27 4x2 + -6y + y2 = 0 + 27 Combine like terms: 0 + 27 = 27 4x2 + -6y + y2 = 27 Add '6y' to each side of the equation. 4x2 + -6y + 6y + y2 = 27 + 6y Combine like terms: -6y + 6y = 0 4x2 + 0 + y2 = 27 + 6y 4x2 + y2 = 27 + 6y Add '-1y2' to each side of the equation. 4x2 + y2 + -1y2 = 27 + 6y + -1y2 Combine like terms: y2 + -1y2 = 0 4x2 + 0 = 27 + 6y + -1y2 4x2 = 27 + 6y + -1y2 Divide each side by '4'. x2 = 6.75 + 1.5y + -0.25y2 Simplifying x2 = 6.75 + 1.5y + -0.25y2 Reorder the terms: -6.75 + x2 + -1.5y + 0.25y2 = 6.75 + 1.5y + -0.25y2 + -6.75 + -1.5y + 0.25y2 Reorder the terms: -6.75 + x2 + -1.5y + 0.25y2 = 6.75 + -6.75 + 1.5y + -1.5y + -0.25y2 + 0.25y2 Combine like terms: 6.75 + -6.75 = 0.00 -6.75 + x2 + -1.5y + 0.25y2 = 0.00 + 1.5y + -1.5y + -0.25y2 + 0.25y2 -6.75 + x2 + -1.5y + 0.25y2 = 1.5y + -1.5y + -0.25y2 + 0.25y2 Combine like terms: 1.5y + -1.5y = 0.0 -6.75 + x2 + -1.5y + 0.25y2 = 0.0 + -0.25y2 + 0.25y2 -6.75 + x2 + -1.5y + 0.25y2 = -0.25y2 + 0.25y2 Combine like terms: -0.25y2 + 0.25y2 = 0.00 -6.75 + x2 + -1.5y + 0.25y2 = 0.00 The solution to this equation could not be determined.
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