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Simplifying 3y2 + -14y + 54 = 0 Reorder the terms: 54 + -14y + 3y2 = 0 Solving 54 + -14y + 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'. 18 + -4.666666667y + y2 = 0 Move the constant term to the right: Add '-18' to each side of the equation. 18 + -4.666666667y + -18 + y2 = 0 + -18 Reorder the terms: 18 + -18 + -4.666666667y + y2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -4.666666667y + y2 = 0 + -18 -4.666666667y + y2 = 0 + -18 Combine like terms: 0 + -18 = -18 -4.666666667y + y2 = -18 The y term is -4.666666667y. Take half its coefficient (-2.333333334). Square it (5.444444448) and add it to both sides. Add '5.444444448' to each side of the equation. -4.666666667y + 5.444444448 + y2 = -18 + 5.444444448 Reorder the terms: 5.444444448 + -4.666666667y + y2 = -18 + 5.444444448 Combine like terms: -18 + 5.444444448 = -12.555555552 5.444444448 + -4.666666667y + y2 = -12.555555552 Factor a perfect square on the left side: (y + -2.333333334)(y + -2.333333334) = -12.555555552 Can't calculate square root of the right side. The solution to this equation could not be determined.
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