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Simplifying 14y2 + -5y + 3 = 0 Reorder the terms: 3 + -5y + 14y2 = 0 Solving 3 + -5y + 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 + -0.3571428571y + y2 = 0 Move the constant term to the right: Add '-0.2142857143' to each side of the equation. 0.2142857143 + -0.3571428571y + -0.2142857143 + y2 = 0 + -0.2142857143 Reorder the terms: 0.2142857143 + -0.2142857143 + -0.3571428571y + y2 = 0 + -0.2142857143 Combine like terms: 0.2142857143 + -0.2142857143 = 0.0000000000 0.0000000000 + -0.3571428571y + y2 = 0 + -0.2142857143 -0.3571428571y + y2 = 0 + -0.2142857143 Combine like terms: 0 + -0.2142857143 = -0.2142857143 -0.3571428571y + y2 = -0.2142857143 The y term is -0.3571428571y. Take half its coefficient (-0.1785714286). Square it (0.03188775511) and add it to both sides. Add '0.03188775511' to each side of the equation. -0.3571428571y + 0.03188775511 + y2 = -0.2142857143 + 0.03188775511 Reorder the terms: 0.03188775511 + -0.3571428571y + y2 = -0.2142857143 + 0.03188775511 Combine like terms: -0.2142857143 + 0.03188775511 = -0.18239795919 0.03188775511 + -0.3571428571y + y2 = -0.18239795919 Factor a perfect square on the left side: (y + -0.1785714286)(y + -0.1785714286) = -0.18239795919 Can't calculate square root of the right side. The solution to this equation could not be determined.
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