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Simplifying 3y2 = 24y + -5y + -40 Reorder the terms: 3y2 = -40 + 24y + -5y Combine like terms: 24y + -5y = 19y 3y2 = -40 + 19y Solving 3y2 = -40 + 19y Solving for variable 'y'. Reorder the terms: 40 + -19y + 3y2 = -40 + 19y + 40 + -19y Reorder the terms: 40 + -19y + 3y2 = -40 + 40 + 19y + -19y Combine like terms: -40 + 40 = 0 40 + -19y + 3y2 = 0 + 19y + -19y 40 + -19y + 3y2 = 19y + -19y Combine like terms: 19y + -19y = 0 40 + -19y + 3y2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 13.33333333 + -6.333333333y + y2 = 0 Move the constant term to the right: Add '-13.33333333' to each side of the equation. 13.33333333 + -6.333333333y + -13.33333333 + y2 = 0 + -13.33333333 Reorder the terms: 13.33333333 + -13.33333333 + -6.333333333y + y2 = 0 + -13.33333333 Combine like terms: 13.33333333 + -13.33333333 = 0.00000000 0.00000000 + -6.333333333y + y2 = 0 + -13.33333333 -6.333333333y + y2 = 0 + -13.33333333 Combine like terms: 0 + -13.33333333 = -13.33333333 -6.333333333y + y2 = -13.33333333 The y term is -6.333333333y. Take half its coefficient (-3.166666667). Square it (10.02777778) and add it to both sides. Add '10.02777778' to each side of the equation. -6.333333333y + 10.02777778 + y2 = -13.33333333 + 10.02777778 Reorder the terms: 10.02777778 + -6.333333333y + y2 = -13.33333333 + 10.02777778 Combine like terms: -13.33333333 + 10.02777778 = -3.30555555 10.02777778 + -6.333333333y + y2 = -3.30555555 Factor a perfect square on the left side: (y + -3.166666667)(y + -3.166666667) = -3.30555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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