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Simplifying 4x2 + -9y2 + -54y + -101 = 0 Reorder the terms: -101 + 4x2 + -54y + -9y2 = 0 Solving -101 + 4x2 + -54y + -9y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '101' to each side of the equation. -101 + 4x2 + -54y + 101 + -9y2 = 0 + 101 Reorder the terms: -101 + 101 + 4x2 + -54y + -9y2 = 0 + 101 Combine like terms: -101 + 101 = 0 0 + 4x2 + -54y + -9y2 = 0 + 101 4x2 + -54y + -9y2 = 0 + 101 Combine like terms: 0 + 101 = 101 4x2 + -54y + -9y2 = 101 Add '54y' to each side of the equation. 4x2 + -54y + 54y + -9y2 = 101 + 54y Combine like terms: -54y + 54y = 0 4x2 + 0 + -9y2 = 101 + 54y 4x2 + -9y2 = 101 + 54y Add '9y2' to each side of the equation. 4x2 + -9y2 + 9y2 = 101 + 54y + 9y2 Combine like terms: -9y2 + 9y2 = 0 4x2 + 0 = 101 + 54y + 9y2 4x2 = 101 + 54y + 9y2 Divide each side by '4'. x2 = 25.25 + 13.5y + 2.25y2 Simplifying x2 = 25.25 + 13.5y + 2.25y2 Reorder the terms: -25.25 + x2 + -13.5y + -2.25y2 = 25.25 + 13.5y + 2.25y2 + -25.25 + -13.5y + -2.25y2 Reorder the terms: -25.25 + x2 + -13.5y + -2.25y2 = 25.25 + -25.25 + 13.5y + -13.5y + 2.25y2 + -2.25y2 Combine like terms: 25.25 + -25.25 = 0.00 -25.25 + x2 + -13.5y + -2.25y2 = 0.00 + 13.5y + -13.5y + 2.25y2 + -2.25y2 -25.25 + x2 + -13.5y + -2.25y2 = 13.5y + -13.5y + 2.25y2 + -2.25y2 Combine like terms: 13.5y + -13.5y = 0.0 -25.25 + x2 + -13.5y + -2.25y2 = 0.0 + 2.25y2 + -2.25y2 -25.25 + x2 + -13.5y + -2.25y2 = 2.25y2 + -2.25y2 Combine like terms: 2.25y2 + -2.25y2 = 0.00 -25.25 + x2 + -13.5y + -2.25y2 = 0.00 The solution to this equation could not be determined.
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