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Simplifying 5y2 + 6y2 + 15y + 18 = 0 Reorder the terms: 18 + 15y + 5y2 + 6y2 = 0 Combine like terms: 5y2 + 6y2 = 11y2 18 + 15y + 11y2 = 0 Solving 18 + 15y + 11y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 1.636363636 + 1.363636364y + y2 = 0 Move the constant term to the right: Add '-1.636363636' to each side of the equation. 1.636363636 + 1.363636364y + -1.636363636 + y2 = 0 + -1.636363636 Reorder the terms: 1.636363636 + -1.636363636 + 1.363636364y + y2 = 0 + -1.636363636 Combine like terms: 1.636363636 + -1.636363636 = 0.000000000 0.000000000 + 1.363636364y + y2 = 0 + -1.636363636 1.363636364y + y2 = 0 + -1.636363636 Combine like terms: 0 + -1.636363636 = -1.636363636 1.363636364y + y2 = -1.636363636 The y term is 1.363636364y. Take half its coefficient (0.681818182). Square it (0.4648760333) and add it to both sides. Add '0.4648760333' to each side of the equation. 1.363636364y + 0.4648760333 + y2 = -1.636363636 + 0.4648760333 Reorder the terms: 0.4648760333 + 1.363636364y + y2 = -1.636363636 + 0.4648760333 Combine like terms: -1.636363636 + 0.4648760333 = -1.1714876027 0.4648760333 + 1.363636364y + y2 = -1.1714876027 Factor a perfect square on the left side: (y + 0.681818182)(y + 0.681818182) = -1.1714876027 Can't calculate square root of the right side. The solution to this equation could not be determined.
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