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Simplifying 0 = 14y2 + -11y + 5 Reorder the terms: 0 = 5 + -11y + 14y2 Solving 0 = 5 + -11y + 14y2 Solving for variable 'y'. Combine like terms: 0 + -5 = -5 -5 + 11y + -14y2 = 5 + -11y + 14y2 + -5 + 11y + -14y2 Reorder the terms: -5 + 11y + -14y2 = 5 + -5 + -11y + 11y + 14y2 + -14y2 Combine like terms: 5 + -5 = 0 -5 + 11y + -14y2 = 0 + -11y + 11y + 14y2 + -14y2 -5 + 11y + -14y2 = -11y + 11y + 14y2 + -14y2 Combine like terms: -11y + 11y = 0 -5 + 11y + -14y2 = 0 + 14y2 + -14y2 -5 + 11y + -14y2 = 14y2 + -14y2 Combine like terms: 14y2 + -14y2 = 0 -5 + 11y + -14y2 = 0 Begin completing the square. Divide all terms by -14 the coefficient of the squared term: Divide each side by '-14'. 0.3571428571 + -0.7857142857y + y2 = 0 Move the constant term to the right: Add '-0.3571428571' to each side of the equation. 0.3571428571 + -0.7857142857y + -0.3571428571 + y2 = 0 + -0.3571428571 Reorder the terms: 0.3571428571 + -0.3571428571 + -0.7857142857y + y2 = 0 + -0.3571428571 Combine like terms: 0.3571428571 + -0.3571428571 = 0.0000000000 0.0000000000 + -0.7857142857y + y2 = 0 + -0.3571428571 -0.7857142857y + y2 = 0 + -0.3571428571 Combine like terms: 0 + -0.3571428571 = -0.3571428571 -0.7857142857y + y2 = -0.3571428571 The y term is -0.7857142857y. Take half its coefficient (-0.3928571429). Square it (0.1543367347) and add it to both sides. Add '0.1543367347' to each side of the equation. -0.7857142857y + 0.1543367347 + y2 = -0.3571428571 + 0.1543367347 Reorder the terms: 0.1543367347 + -0.7857142857y + y2 = -0.3571428571 + 0.1543367347 Combine like terms: -0.3571428571 + 0.1543367347 = -0.2028061224 0.1543367347 + -0.7857142857y + y2 = -0.2028061224 Factor a perfect square on the left side: (y + -0.3928571429)(y + -0.3928571429) = -0.2028061224 Can't calculate square root of the right side. The solution to this equation could not be determined.
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