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Simplifying 5y2 + -4y + 10y + 17 = 0 Reorder the terms: 17 + -4y + 10y + 5y2 = 0 Combine like terms: -4y + 10y = 6y 17 + 6y + 5y2 = 0 Solving 17 + 6y + 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'. 3.4 + 1.2y + y2 = 0 Move the constant term to the right: Add '-3.4' to each side of the equation. 3.4 + 1.2y + -3.4 + y2 = 0 + -3.4 Reorder the terms: 3.4 + -3.4 + 1.2y + y2 = 0 + -3.4 Combine like terms: 3.4 + -3.4 = 0.0 0.0 + 1.2y + y2 = 0 + -3.4 1.2y + y2 = 0 + -3.4 Combine like terms: 0 + -3.4 = -3.4 1.2y + y2 = -3.4 The y term is 1.2y. Take half its coefficient (0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. 1.2y + 0.36 + y2 = -3.4 + 0.36 Reorder the terms: 0.36 + 1.2y + y2 = -3.4 + 0.36 Combine like terms: -3.4 + 0.36 = -3.04 0.36 + 1.2y + y2 = -3.04 Factor a perfect square on the left side: (y + 0.6)(y + 0.6) = -3.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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