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Simplifying 3y2 + 17y + 72 = 0 Reorder the terms: 72 + 17y + 3y2 = 0 Solving 72 + 17y + 3y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 24 + 5.666666667y + y2 = 0 Move the constant term to the right: Add '-24' to each side of the equation. 24 + 5.666666667y + -24 + y2 = 0 + -24 Reorder the terms: 24 + -24 + 5.666666667y + y2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 5.666666667y + y2 = 0 + -24 5.666666667y + y2 = 0 + -24 Combine like terms: 0 + -24 = -24 5.666666667y + y2 = -24 The y term is 5.666666667y. Take half its coefficient (2.833333334). Square it (8.027777782) and add it to both sides. Add '8.027777782' to each side of the equation. 5.666666667y + 8.027777782 + y2 = -24 + 8.027777782 Reorder the terms: 8.027777782 + 5.666666667y + y2 = -24 + 8.027777782 Combine like terms: -24 + 8.027777782 = -15.972222218 8.027777782 + 5.666666667y + y2 = -15.972222218 Factor a perfect square on the left side: (y + 2.833333334)(y + 2.833333334) = -15.972222218 Can't calculate square root of the right side. The solution to this equation could not be determined.
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