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Simplifying y2 + 14y + 4x + 45 = 0 Reorder the terms: 45 + 4x + 14y + y2 = 0 Solving 45 + 4x + 14y + y2 = 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 + 4x + 14y + -45 + y2 = 0 + -45 Reorder the terms: 45 + -45 + 4x + 14y + y2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 4x + 14y + y2 = 0 + -45 4x + 14y + y2 = 0 + -45 Combine like terms: 0 + -45 = -45 4x + 14y + y2 = -45 Add '-14y' to each side of the equation. 4x + 14y + -14y + y2 = -45 + -14y Combine like terms: 14y + -14y = 0 4x + 0 + y2 = -45 + -14y 4x + y2 = -45 + -14y Add '-1y2' to each side of the equation. 4x + y2 + -1y2 = -45 + -14y + -1y2 Combine like terms: y2 + -1y2 = 0 4x + 0 = -45 + -14y + -1y2 4x = -45 + -14y + -1y2 Divide each side by '4'. x = -11.25 + -3.5y + -0.25y2 Simplifying x = -11.25 + -3.5y + -0.25y2
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