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Simplifying 12y2 + -56y + 77 = 0 Reorder the terms: 77 + -56y + 12y2 = 0 Solving 77 + -56y + 12y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 6.416666667 + -4.666666667y + y2 = 0 Move the constant term to the right: Add '-6.416666667' to each side of the equation. 6.416666667 + -4.666666667y + -6.416666667 + y2 = 0 + -6.416666667 Reorder the terms: 6.416666667 + -6.416666667 + -4.666666667y + y2 = 0 + -6.416666667 Combine like terms: 6.416666667 + -6.416666667 = 0.000000000 0.000000000 + -4.666666667y + y2 = 0 + -6.416666667 -4.666666667y + y2 = 0 + -6.416666667 Combine like terms: 0 + -6.416666667 = -6.416666667 -4.666666667y + y2 = -6.416666667 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 = -6.416666667 + 5.444444448 Reorder the terms: 5.444444448 + -4.666666667y + y2 = -6.416666667 + 5.444444448 Combine like terms: -6.416666667 + 5.444444448 = -0.972222219 5.444444448 + -4.666666667y + y2 = -0.972222219 Factor a perfect square on the left side: (y + -2.333333334)(y + -2.333333334) = -0.972222219 Can't calculate square root of the right side. The solution to this equation could not be determined.
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