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Simplifying 5y2 + -17y + 15 = 0 Reorder the terms: 15 + -17y + 5y2 = 0 Solving 15 + -17y + 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 + -3.4y + y2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -3.4y + -3 + y2 = 0 + -3 Reorder the terms: 3 + -3 + -3.4y + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3.4y + y2 = 0 + -3 -3.4y + y2 = 0 + -3 Combine like terms: 0 + -3 = -3 -3.4y + y2 = -3 The y term is -3.4y. Take half its coefficient (-1.7). Square it (2.89) and add it to both sides. Add '2.89' to each side of the equation. -3.4y + 2.89 + y2 = -3 + 2.89 Reorder the terms: 2.89 + -3.4y + y2 = -3 + 2.89 Combine like terms: -3 + 2.89 = -0.11 2.89 + -3.4y + y2 = -0.11 Factor a perfect square on the left side: (y + -1.7)(y + -1.7) = -0.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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