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Simplifying 4x2 + 9y2 + -54y + 45 = 0 Reorder the terms: 45 + 4x2 + -54y + 9y2 = 0 Solving 45 + 4x2 + -54y + 9y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + 4x2 + -54y + -45 + 9y2 = 0 + -45 Reorder the terms: 45 + -45 + 4x2 + -54y + 9y2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 4x2 + -54y + 9y2 = 0 + -45 4x2 + -54y + 9y2 = 0 + -45 Combine like terms: 0 + -45 = -45 4x2 + -54y + 9y2 = -45 Add '54y' to each side of the equation. 4x2 + -54y + 54y + 9y2 = -45 + 54y Combine like terms: -54y + 54y = 0 4x2 + 0 + 9y2 = -45 + 54y 4x2 + 9y2 = -45 + 54y Add '-9y2' to each side of the equation. 4x2 + 9y2 + -9y2 = -45 + 54y + -9y2 Combine like terms: 9y2 + -9y2 = 0 4x2 + 0 = -45 + 54y + -9y2 4x2 = -45 + 54y + -9y2 Divide each side by '4'. x2 = -11.25 + 13.5y + -2.25y2 Simplifying x2 = -11.25 + 13.5y + -2.25y2 Reorder the terms: 11.25 + x2 + -13.5y + 2.25y2 = -11.25 + 13.5y + -2.25y2 + 11.25 + -13.5y + 2.25y2 Reorder the terms: 11.25 + x2 + -13.5y + 2.25y2 = -11.25 + 11.25 + 13.5y + -13.5y + -2.25y2 + 2.25y2 Combine like terms: -11.25 + 11.25 = 0.00 11.25 + x2 + -13.5y + 2.25y2 = 0.00 + 13.5y + -13.5y + -2.25y2 + 2.25y2 11.25 + x2 + -13.5y + 2.25y2 = 13.5y + -13.5y + -2.25y2 + 2.25y2 Combine like terms: 13.5y + -13.5y = 0.0 11.25 + x2 + -13.5y + 2.25y2 = 0.0 + -2.25y2 + 2.25y2 11.25 + x2 + -13.5y + 2.25y2 = -2.25y2 + 2.25y2 Combine like terms: -2.25y2 + 2.25y2 = 0.00 11.25 + x2 + -13.5y + 2.25y2 = 0.00 The solution to this equation could not be determined.
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