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Simplifying 14z2 + -16z + 15 = 0 Reorder the terms: 15 + -16z + 14z2 = 0 Solving 15 + -16z + 14z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 1.071428571 + -1.142857143z + z2 = 0 Move the constant term to the right: Add '-1.071428571' to each side of the equation. 1.071428571 + -1.142857143z + -1.071428571 + z2 = 0 + -1.071428571 Reorder the terms: 1.071428571 + -1.071428571 + -1.142857143z + z2 = 0 + -1.071428571 Combine like terms: 1.071428571 + -1.071428571 = 0.000000000 0.000000000 + -1.142857143z + z2 = 0 + -1.071428571 -1.142857143z + z2 = 0 + -1.071428571 Combine like terms: 0 + -1.071428571 = -1.071428571 -1.142857143z + z2 = -1.071428571 The z term is -1.142857143z. 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. -1.142857143z + 0.3265306123 + z2 = -1.071428571 + 0.3265306123 Reorder the terms: 0.3265306123 + -1.142857143z + z2 = -1.071428571 + 0.3265306123 Combine like terms: -1.071428571 + 0.3265306123 = -0.7448979587 0.3265306123 + -1.142857143z + z2 = -0.7448979587 Factor a perfect square on the left side: (z + -0.5714285715)(z + -0.5714285715) = -0.7448979587 Can't calculate square root of the right side. The solution to this equation could not be determined.
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