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Simplifying 14y2 + -3y + 5 = 0 Reorder the terms: 5 + -3y + 14y2 = 0 Solving 5 + -3y + 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'. 0.3571428571 + -0.2142857143y + y2 = 0 Move the constant term to the right: Add '-0.3571428571' to each side of the equation. 0.3571428571 + -0.2142857143y + -0.3571428571 + y2 = 0 + -0.3571428571 Reorder the terms: 0.3571428571 + -0.3571428571 + -0.2142857143y + y2 = 0 + -0.3571428571 Combine like terms: 0.3571428571 + -0.3571428571 = 0.0000000000 0.0000000000 + -0.2142857143y + y2 = 0 + -0.3571428571 -0.2142857143y + y2 = 0 + -0.3571428571 Combine like terms: 0 + -0.3571428571 = -0.3571428571 -0.2142857143y + y2 = -0.3571428571 The y term is -0.2142857143y. Take half its coefficient (-0.1071428572). Square it (0.01147959185) and add it to both sides. Add '0.01147959185' to each side of the equation. -0.2142857143y + 0.01147959185 + y2 = -0.3571428571 + 0.01147959185 Reorder the terms: 0.01147959185 + -0.2142857143y + y2 = -0.3571428571 + 0.01147959185 Combine like terms: -0.3571428571 + 0.01147959185 = -0.34566326525 0.01147959185 + -0.2142857143y + y2 = -0.34566326525 Factor a perfect square on the left side: (y + -0.1071428572)(y + -0.1071428572) = -0.34566326525 Can't calculate square root of the right side. The solution to this equation could not be determined.
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