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Simplifying 42y2 + -16y + 3 = 0 Reorder the terms: 3 + -16y + 42y2 = 0 Solving 3 + -16y + 42y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 42 the coefficient of the squared term: Divide each side by '42'. 0.07142857143 + -0.380952381y + y2 = 0 Move the constant term to the right: Add '-0.07142857143' to each side of the equation. 0.07142857143 + -0.380952381y + -0.07142857143 + y2 = 0 + -0.07142857143 Reorder the terms: 0.07142857143 + -0.07142857143 + -0.380952381y + y2 = 0 + -0.07142857143 Combine like terms: 0.07142857143 + -0.07142857143 = 0.00000000000 0.00000000000 + -0.380952381y + y2 = 0 + -0.07142857143 -0.380952381y + y2 = 0 + -0.07142857143 Combine like terms: 0 + -0.07142857143 = -0.07142857143 -0.380952381y + y2 = -0.07142857143 The y term is -0.380952381y. Take half its coefficient (-0.1904761905). Square it (0.03628117915) and add it to both sides. Add '0.03628117915' to each side of the equation. -0.380952381y + 0.03628117915 + y2 = -0.07142857143 + 0.03628117915 Reorder the terms: 0.03628117915 + -0.380952381y + y2 = -0.07142857143 + 0.03628117915 Combine like terms: -0.07142857143 + 0.03628117915 = -0.03514739228 0.03628117915 + -0.380952381y + y2 = -0.03514739228 Factor a perfect square on the left side: (y + -0.1904761905)(y + -0.1904761905) = -0.03514739228 Can't calculate square root of the right side. The solution to this equation could not be determined.
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