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Simplifying 4x2 + 9y2 + -54y + -63 = 0 Reorder the terms: -63 + 4x2 + -54y + 9y2 = 0 Solving -63 + 4x2 + -54y + 9y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 4x2 + -54y + 63 + 9y2 = 0 + 63 Reorder the terms: -63 + 63 + 4x2 + -54y + 9y2 = 0 + 63 Combine like terms: -63 + 63 = 0 0 + 4x2 + -54y + 9y2 = 0 + 63 4x2 + -54y + 9y2 = 0 + 63 Combine like terms: 0 + 63 = 63 4x2 + -54y + 9y2 = 63 Add '54y' to each side of the equation. 4x2 + -54y + 54y + 9y2 = 63 + 54y Combine like terms: -54y + 54y = 0 4x2 + 0 + 9y2 = 63 + 54y 4x2 + 9y2 = 63 + 54y Add '-9y2' to each side of the equation. 4x2 + 9y2 + -9y2 = 63 + 54y + -9y2 Combine like terms: 9y2 + -9y2 = 0 4x2 + 0 = 63 + 54y + -9y2 4x2 = 63 + 54y + -9y2 Divide each side by '4'. x2 = 15.75 + 13.5y + -2.25y2 Simplifying x2 = 15.75 + 13.5y + -2.25y2 Reorder the terms: -15.75 + x2 + -13.5y + 2.25y2 = 15.75 + 13.5y + -2.25y2 + -15.75 + -13.5y + 2.25y2 Reorder the terms: -15.75 + x2 + -13.5y + 2.25y2 = 15.75 + -15.75 + 13.5y + -13.5y + -2.25y2 + 2.25y2 Combine like terms: 15.75 + -15.75 = 0.00 -15.75 + x2 + -13.5y + 2.25y2 = 0.00 + 13.5y + -13.5y + -2.25y2 + 2.25y2 -15.75 + x2 + -13.5y + 2.25y2 = 13.5y + -13.5y + -2.25y2 + 2.25y2 Combine like terms: 13.5y + -13.5y = 0.0 -15.75 + x2 + -13.5y + 2.25y2 = 0.0 + -2.25y2 + 2.25y2 -15.75 + x2 + -13.5y + 2.25y2 = -2.25y2 + 2.25y2 Combine like terms: -2.25y2 + 2.25y2 = 0.00 -15.75 + x2 + -13.5y + 2.25y2 = 0.00 The solution to this equation could not be determined.
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