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Simplifying 5y2 + 3y = -14 Reorder the terms: 3y + 5y2 = -14 Solving 3y + 5y2 = -14 Solving for variable 'y'. Reorder the terms: 14 + 3y + 5y2 = -14 + 14 Combine like terms: -14 + 14 = 0 14 + 3y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.8 + 0.6y + y2 = 0 Move the constant term to the right: Add '-2.8' to each side of the equation. 2.8 + 0.6y + -2.8 + y2 = 0 + -2.8 Reorder the terms: 2.8 + -2.8 + 0.6y + y2 = 0 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 0.6y + y2 = 0 + -2.8 0.6y + y2 = 0 + -2.8 Combine like terms: 0 + -2.8 = -2.8 0.6y + y2 = -2.8 The y term is 0.6y. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6y + 0.09 + y2 = -2.8 + 0.09 Reorder the terms: 0.09 + 0.6y + y2 = -2.8 + 0.09 Combine like terms: -2.8 + 0.09 = -2.71 0.09 + 0.6y + y2 = -2.71 Factor a perfect square on the left side: (y + 0.3)(y + 0.3) = -2.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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