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Simplifying 15y2 + -6y + 2 = 0 Reorder the terms: 2 + -6y + 15y2 = 0 Solving 2 + -6y + 15y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.1333333333 + -0.4y + y2 = 0 Move the constant term to the right: Add '-0.1333333333' to each side of the equation. 0.1333333333 + -0.4y + -0.1333333333 + y2 = 0 + -0.1333333333 Reorder the terms: 0.1333333333 + -0.1333333333 + -0.4y + y2 = 0 + -0.1333333333 Combine like terms: 0.1333333333 + -0.1333333333 = 0.0000000000 0.0000000000 + -0.4y + y2 = 0 + -0.1333333333 -0.4y + y2 = 0 + -0.1333333333 Combine like terms: 0 + -0.1333333333 = -0.1333333333 -0.4y + y2 = -0.1333333333 The y term is -0.4y. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4y + 0.04 + y2 = -0.1333333333 + 0.04 Reorder the terms: 0.04 + -0.4y + y2 = -0.1333333333 + 0.04 Combine like terms: -0.1333333333 + 0.04 = -0.0933333333 0.04 + -0.4y + y2 = -0.0933333333 Factor a perfect square on the left side: (y + -0.2)(y + -0.2) = -0.0933333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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