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Simplifying 3y2 + -3y + 38 = 0 Reorder the terms: 38 + -3y + 3y2 = 0 Solving 38 + -3y + 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'. 12.66666667 + -1y + y2 = 0 Move the constant term to the right: Add '-12.66666667' to each side of the equation. 12.66666667 + -1y + -12.66666667 + y2 = 0 + -12.66666667 Reorder the terms: 12.66666667 + -12.66666667 + -1y + y2 = 0 + -12.66666667 Combine like terms: 12.66666667 + -12.66666667 = 0.00000000 0.00000000 + -1y + y2 = 0 + -12.66666667 -1y + y2 = 0 + -12.66666667 Combine like terms: 0 + -12.66666667 = -12.66666667 -1y + y2 = -12.66666667 The y term is -1y. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1y + 0.25 + y2 = -12.66666667 + 0.25 Reorder the terms: 0.25 + -1y + y2 = -12.66666667 + 0.25 Combine like terms: -12.66666667 + 0.25 = -12.41666667 0.25 + -1y + y2 = -12.41666667 Factor a perfect square on the left side: (y + -0.5)(y + -0.5) = -12.41666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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