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Simplifying 0.5(1.8y2 + 2.2y + 34) = 0 Reorder the terms: 0.5(34 + 2.2y + 1.8y2) = 0 (34 * 0.5 + 2.2y * 0.5 + 1.8y2 * 0.5) = 0 (17 + 1.1y + 0.9y2) = 0 Solving 17 + 1.1y + 0.9y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 0.9 the coefficient of the squared term: Divide each side by '0.9'. 18.88888889 + 1.222222222y + y2 = 0 Move the constant term to the right: Add '-18.88888889' to each side of the equation. 18.88888889 + 1.222222222y + -18.88888889 + y2 = 0 + -18.88888889 Reorder the terms: 18.88888889 + -18.88888889 + 1.222222222y + y2 = 0 + -18.88888889 Combine like terms: 18.88888889 + -18.88888889 = 0.00000000 0.00000000 + 1.222222222y + y2 = 0 + -18.88888889 1.222222222y + y2 = 0 + -18.88888889 Combine like terms: 0 + -18.88888889 = -18.88888889 1.222222222y + y2 = -18.88888889 The y term is 1.222222222y. Take half its coefficient (0.611111111). Square it (0.3734567900) and add it to both sides. Add '0.3734567900' to each side of the equation. 1.222222222y + 0.3734567900 + y2 = -18.88888889 + 0.3734567900 Reorder the terms: 0.3734567900 + 1.222222222y + y2 = -18.88888889 + 0.3734567900 Combine like terms: -18.88888889 + 0.3734567900 = -18.5154321 0.3734567900 + 1.222222222y + y2 = -18.5154321 Factor a perfect square on the left side: (y + 0.611111111)(y + 0.611111111) = -18.5154321 Can't calculate square root of the right side. The solution to this equation could not be determined.
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