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Simplifying 4x2 + -9y2 + 18y + -45 = 0 Reorder the terms: -45 + 4x2 + 18y + -9y2 = 0 Solving -45 + 4x2 + 18y + -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 + 18y + 45 + -9y2 = 0 + 45 Reorder the terms: -45 + 45 + 4x2 + 18y + -9y2 = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 4x2 + 18y + -9y2 = 0 + 45 4x2 + 18y + -9y2 = 0 + 45 Combine like terms: 0 + 45 = 45 4x2 + 18y + -9y2 = 45 Add '-18y' to each side of the equation. 4x2 + 18y + -18y + -9y2 = 45 + -18y Combine like terms: 18y + -18y = 0 4x2 + 0 + -9y2 = 45 + -18y 4x2 + -9y2 = 45 + -18y Add '9y2' to each side of the equation. 4x2 + -9y2 + 9y2 = 45 + -18y + 9y2 Combine like terms: -9y2 + 9y2 = 0 4x2 + 0 = 45 + -18y + 9y2 4x2 = 45 + -18y + 9y2 Divide each side by '4'. x2 = 11.25 + -4.5y + 2.25y2 Simplifying x2 = 11.25 + -4.5y + 2.25y2 Reorder the terms: -11.25 + x2 + 4.5y + -2.25y2 = 11.25 + -4.5y + 2.25y2 + -11.25 + 4.5y + -2.25y2 Reorder the terms: -11.25 + x2 + 4.5y + -2.25y2 = 11.25 + -11.25 + -4.5y + 4.5y + 2.25y2 + -2.25y2 Combine like terms: 11.25 + -11.25 = 0.00 -11.25 + x2 + 4.5y + -2.25y2 = 0.00 + -4.5y + 4.5y + 2.25y2 + -2.25y2 -11.25 + x2 + 4.5y + -2.25y2 = -4.5y + 4.5y + 2.25y2 + -2.25y2 Combine like terms: -4.5y + 4.5y = 0.0 -11.25 + x2 + 4.5y + -2.25y2 = 0.0 + 2.25y2 + -2.25y2 -11.25 + x2 + 4.5y + -2.25y2 = 2.25y2 + -2.25y2 Combine like terms: 2.25y2 + -2.25y2 = 0.00 -11.25 + x2 + 4.5y + -2.25y2 = 0.00 The solution to this equation could not be determined.
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