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Simplifying 5y2 + 2y + 18 = 0 Reorder the terms: 18 + 2y + 5y2 = 0 Solving 18 + 2y + 5y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3.6 + 0.4y + y2 = 0 Move the constant term to the right: Add '-3.6' to each side of the equation. 3.6 + 0.4y + -3.6 + y2 = 0 + -3.6 Reorder the terms: 3.6 + -3.6 + 0.4y + y2 = 0 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 0.4y + y2 = 0 + -3.6 0.4y + y2 = 0 + -3.6 Combine like terms: 0 + -3.6 = -3.6 0.4y + y2 = -3.6 The y term is 0.4y. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4y + 0.04 + y2 = -3.6 + 0.04 Reorder the terms: 0.04 + 0.4y + y2 = -3.6 + 0.04 Combine like terms: -3.6 + 0.04 = -3.56 0.04 + 0.4y + y2 = -3.56 Factor a perfect square on the left side: (y + 0.2)(y + 0.2) = -3.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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