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Simplifying 5y2 + -16y + 45 = 0 Reorder the terms: 45 + -16y + 5y2 = 0 Solving 45 + -16y + 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'. 9 + -3.2y + y2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -3.2y + -9 + y2 = 0 + -9 Reorder the terms: 9 + -9 + -3.2y + y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3.2y + y2 = 0 + -9 -3.2y + y2 = 0 + -9 Combine like terms: 0 + -9 = -9 -3.2y + y2 = -9 The y term is -3.2y. Take half its coefficient (-1.6). Square it (2.56) and add it to both sides. Add '2.56' to each side of the equation. -3.2y + 2.56 + y2 = -9 + 2.56 Reorder the terms: 2.56 + -3.2y + y2 = -9 + 2.56 Combine like terms: -9 + 2.56 = -6.44 2.56 + -3.2y + y2 = -6.44 Factor a perfect square on the left side: (y + -1.6)(y + -1.6) = -6.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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