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Simplifying 14Y2 + -4Y + 3 = 0 Reorder the terms: 3 + -4Y + 14Y2 = 0 Solving 3 + -4Y + 14Y2 = 0 Solving for variable 'Y'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.2142857143 + -0.2857142857Y + Y2 = 0 Move the constant term to the right: Add '-0.2142857143' to each side of the equation. 0.2142857143 + -0.2857142857Y + -0.2142857143 + Y2 = 0 + -0.2142857143 Reorder the terms: 0.2142857143 + -0.2142857143 + -0.2857142857Y + Y2 = 0 + -0.2142857143 Combine like terms: 0.2142857143 + -0.2142857143 = 0.0000000000 0.0000000000 + -0.2857142857Y + Y2 = 0 + -0.2142857143 -0.2857142857Y + Y2 = 0 + -0.2142857143 Combine like terms: 0 + -0.2142857143 = -0.2142857143 -0.2857142857Y + Y2 = -0.2142857143 The Y term is -0.2857142857Y. Take half its coefficient (-0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. -0.2857142857Y + 0.02040816328 + Y2 = -0.2142857143 + 0.02040816328 Reorder the terms: 0.02040816328 + -0.2857142857Y + Y2 = -0.2142857143 + 0.02040816328 Combine like terms: -0.2142857143 + 0.02040816328 = -0.19387755102 0.02040816328 + -0.2857142857Y + Y2 = -0.19387755102 Factor a perfect square on the left side: (Y + -0.1428571429)(Y + -0.1428571429) = -0.19387755102 Can't calculate square root of the right side. The solution to this equation could not be determined.
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