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Simplifying 4x2 + 9y2 + 18y + 37 = 0 Reorder the terms: 37 + 4x2 + 18y + 9y2 = 0 Solving 37 + 4x2 + 18y + 9y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + 4x2 + 18y + -37 + 9y2 = 0 + -37 Reorder the terms: 37 + -37 + 4x2 + 18y + 9y2 = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 4x2 + 18y + 9y2 = 0 + -37 4x2 + 18y + 9y2 = 0 + -37 Combine like terms: 0 + -37 = -37 4x2 + 18y + 9y2 = -37 Add '-18y' to each side of the equation. 4x2 + 18y + -18y + 9y2 = -37 + -18y Combine like terms: 18y + -18y = 0 4x2 + 0 + 9y2 = -37 + -18y 4x2 + 9y2 = -37 + -18y Add '-9y2' to each side of the equation. 4x2 + 9y2 + -9y2 = -37 + -18y + -9y2 Combine like terms: 9y2 + -9y2 = 0 4x2 + 0 = -37 + -18y + -9y2 4x2 = -37 + -18y + -9y2 Divide each side by '4'. x2 = -9.25 + -4.5y + -2.25y2 Simplifying x2 = -9.25 + -4.5y + -2.25y2 Reorder the terms: 9.25 + x2 + 4.5y + 2.25y2 = -9.25 + -4.5y + -2.25y2 + 9.25 + 4.5y + 2.25y2 Reorder the terms: 9.25 + x2 + 4.5y + 2.25y2 = -9.25 + 9.25 + -4.5y + 4.5y + -2.25y2 + 2.25y2 Combine like terms: -9.25 + 9.25 = 0.00 9.25 + x2 + 4.5y + 2.25y2 = 0.00 + -4.5y + 4.5y + -2.25y2 + 2.25y2 9.25 + x2 + 4.5y + 2.25y2 = -4.5y + 4.5y + -2.25y2 + 2.25y2 Combine like terms: -4.5y + 4.5y = 0.0 9.25 + x2 + 4.5y + 2.25y2 = 0.0 + -2.25y2 + 2.25y2 9.25 + x2 + 4.5y + 2.25y2 = -2.25y2 + 2.25y2 Combine like terms: -2.25y2 + 2.25y2 = 0.00 9.25 + x2 + 4.5y + 2.25y2 = 0.00 The solution to this equation could not be determined.
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