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Simplifying 9y2 + 35y + 36 = 0 Reorder the terms: 36 + 35y + 9y2 = 0 Solving 36 + 35y + 9y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 4 + 3.888888889y + y2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 3.888888889y + -4 + y2 = 0 + -4 Reorder the terms: 4 + -4 + 3.888888889y + y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3.888888889y + y2 = 0 + -4 3.888888889y + y2 = 0 + -4 Combine like terms: 0 + -4 = -4 3.888888889y + y2 = -4 The y term is 3.888888889y. Take half its coefficient (1.944444445). Square it (3.780864200) and add it to both sides. Add '3.780864200' to each side of the equation. 3.888888889y + 3.780864200 + y2 = -4 + 3.780864200 Reorder the terms: 3.780864200 + 3.888888889y + y2 = -4 + 3.780864200 Combine like terms: -4 + 3.780864200 = -0.2191358 3.780864200 + 3.888888889y + y2 = -0.2191358 Factor a perfect square on the left side: (y + 1.944444445)(y + 1.944444445) = -0.2191358 Can't calculate square root of the right side. The solution to this equation could not be determined.
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