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Simplifying 30y2 + -5y + 6 = 0 Reorder the terms: 6 + -5y + 30y2 = 0 Solving 6 + -5y + 30y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 30 the coefficient of the squared term: Divide each side by '30'. 0.2 + -0.1666666667y + y2 = 0 Move the constant term to the right: Add '-0.2' to each side of the equation. 0.2 + -0.1666666667y + -0.2 + y2 = 0 + -0.2 Reorder the terms: 0.2 + -0.2 + -0.1666666667y + y2 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.1666666667y + y2 = 0 + -0.2 -0.1666666667y + y2 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 -0.1666666667y + y2 = -0.2 The y term is -0.1666666667y. Take half its coefficient (-0.08333333335). Square it (0.006944444447) and add it to both sides. Add '0.006944444447' to each side of the equation. -0.1666666667y + 0.006944444447 + y2 = -0.2 + 0.006944444447 Reorder the terms: 0.006944444447 + -0.1666666667y + y2 = -0.2 + 0.006944444447 Combine like terms: -0.2 + 0.006944444447 = -0.193055555553 0.006944444447 + -0.1666666667y + y2 = -0.193055555553 Factor a perfect square on the left side: (y + -0.08333333335)(y + -0.08333333335) = -0.193055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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