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Simplifying 5y2 + 2y = -2 Reorder the terms: 2y + 5y2 = -2 Solving 2y + 5y2 = -2 Solving for variable 'y'. Reorder the terms: 2 + 2y + 5y2 = -2 + 2 Combine like terms: -2 + 2 = 0 2 + 2y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.4 + 0.4y + y2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 0.4y + -0.4 + y2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.4y + y2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.4y + y2 = 0 + -0.4 0.4y + y2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 0.4y + y2 = -0.4 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 = -0.4 + 0.04 Reorder the terms: 0.04 + 0.4y + y2 = -0.4 + 0.04 Combine like terms: -0.4 + 0.04 = -0.36 0.04 + 0.4y + y2 = -0.36 Factor a perfect square on the left side: (y + 0.2)(y + 0.2) = -0.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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