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Simplifying 14y2 + -16y + 16 = 0 Reorder the terms: 16 + -16y + 14y2 = 0 Solving 16 + -16y + 14y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -8y + 7y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -8y + 7y2)' equal to zero and attempt to solve: Simplifying 8 + -8y + 7y2 = 0 Solving 8 + -8y + 7y2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.142857143 + -1.142857143y + y2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + -1.142857143y + -1.142857143 + y2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + -1.142857143y + y2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + -1.142857143y + y2 = 0 + -1.142857143 -1.142857143y + y2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 -1.142857143y + y2 = -1.142857143 The y term is -1.142857143y. Take half its coefficient (-0.5714285715). Square it (0.3265306123) and add it to both sides. Add '0.3265306123' to each side of the equation. -1.142857143y + 0.3265306123 + y2 = -1.142857143 + 0.3265306123 Reorder the terms: 0.3265306123 + -1.142857143y + y2 = -1.142857143 + 0.3265306123 Combine like terms: -1.142857143 + 0.3265306123 = -0.8163265307 0.3265306123 + -1.142857143y + y2 = -0.8163265307 Factor a perfect square on the left side: (y + -0.5714285715)(y + -0.5714285715) = -0.8163265307 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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