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Simplifying 6y2 + 13y + 20 = 0 Reorder the terms: 20 + 13y + 6y2 = 0 Solving 20 + 13y + 6y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 3.333333333 + 2.166666667y + y2 = 0 Move the constant term to the right: Add '-3.333333333' to each side of the equation. 3.333333333 + 2.166666667y + -3.333333333 + y2 = 0 + -3.333333333 Reorder the terms: 3.333333333 + -3.333333333 + 2.166666667y + y2 = 0 + -3.333333333 Combine like terms: 3.333333333 + -3.333333333 = 0.000000000 0.000000000 + 2.166666667y + y2 = 0 + -3.333333333 2.166666667y + y2 = 0 + -3.333333333 Combine like terms: 0 + -3.333333333 = -3.333333333 2.166666667y + y2 = -3.333333333 The y term is 2.166666667y. Take half its coefficient (1.083333334). Square it (1.173611113) and add it to both sides. Add '1.173611113' to each side of the equation. 2.166666667y + 1.173611113 + y2 = -3.333333333 + 1.173611113 Reorder the terms: 1.173611113 + 2.166666667y + y2 = -3.333333333 + 1.173611113 Combine like terms: -3.333333333 + 1.173611113 = -2.15972222 1.173611113 + 2.166666667y + y2 = -2.15972222 Factor a perfect square on the left side: (y + 1.083333334)(y + 1.083333334) = -2.15972222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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