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Simplifying y2 + 10y + 4x + 33 = 0 Reorder the terms: 33 + 4x + 10y + y2 = 0 Solving 33 + 4x + 10y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + 4x + 10y + -33 + y2 = 0 + -33 Reorder the terms: 33 + -33 + 4x + 10y + y2 = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 4x + 10y + y2 = 0 + -33 4x + 10y + y2 = 0 + -33 Combine like terms: 0 + -33 = -33 4x + 10y + y2 = -33 Add '-10y' to each side of the equation. 4x + 10y + -10y + y2 = -33 + -10y Combine like terms: 10y + -10y = 0 4x + 0 + y2 = -33 + -10y 4x + y2 = -33 + -10y Add '-1y2' to each side of the equation. 4x + y2 + -1y2 = -33 + -10y + -1y2 Combine like terms: y2 + -1y2 = 0 4x + 0 = -33 + -10y + -1y2 4x = -33 + -10y + -1y2 Divide each side by '4'. x = -8.25 + -2.5y + -0.25y2 Simplifying x = -8.25 + -2.5y + -0.25y2
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