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Simplifying 7y2 + 3y + 1 = 0 Reorder the terms: 1 + 3y + 7y2 = 0 Solving 1 + 3y + 7y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.1428571429 + 0.4285714286y + y2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + 0.4285714286y + -0.1428571429 + y2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + 0.4285714286y + y2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + 0.4285714286y + y2 = 0 + -0.1428571429 0.4285714286y + y2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 0.4285714286y + y2 = -0.1428571429 The y term is 0.4285714286y. Take half its coefficient (0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. 0.4285714286y + 0.04591836735 + y2 = -0.1428571429 + 0.04591836735 Reorder the terms: 0.04591836735 + 0.4285714286y + y2 = -0.1428571429 + 0.04591836735 Combine like terms: -0.1428571429 + 0.04591836735 = -0.09693877555 0.04591836735 + 0.4285714286y + y2 = -0.09693877555 Factor a perfect square on the left side: (y + 0.2142857143)(y + 0.2142857143) = -0.09693877555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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