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Simplifying 5y2 + -28y + 65 = 0 Reorder the terms: 65 + -28y + 5y2 = 0 Solving 65 + -28y + 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'. 13 + -5.6y + y2 = 0 Move the constant term to the right: Add '-13' to each side of the equation. 13 + -5.6y + -13 + y2 = 0 + -13 Reorder the terms: 13 + -13 + -5.6y + y2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -5.6y + y2 = 0 + -13 -5.6y + y2 = 0 + -13 Combine like terms: 0 + -13 = -13 -5.6y + y2 = -13 The y term is -5.6y. Take half its coefficient (-2.8). Square it (7.84) and add it to both sides. Add '7.84' to each side of the equation. -5.6y + 7.84 + y2 = -13 + 7.84 Reorder the terms: 7.84 + -5.6y + y2 = -13 + 7.84 Combine like terms: -13 + 7.84 = -5.16 7.84 + -5.6y + y2 = -5.16 Factor a perfect square on the left side: (y + -2.8)(y + -2.8) = -5.16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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