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Simplifying 13z2 + 72z + 108 = 0 Reorder the terms: 108 + 72z + 13z2 = 0 Solving 108 + 72z + 13z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 8.307692308 + 5.538461538z + z2 = 0 Move the constant term to the right: Add '-8.307692308' to each side of the equation. 8.307692308 + 5.538461538z + -8.307692308 + z2 = 0 + -8.307692308 Reorder the terms: 8.307692308 + -8.307692308 + 5.538461538z + z2 = 0 + -8.307692308 Combine like terms: 8.307692308 + -8.307692308 = 0.000000000 0.000000000 + 5.538461538z + z2 = 0 + -8.307692308 5.538461538z + z2 = 0 + -8.307692308 Combine like terms: 0 + -8.307692308 = -8.307692308 5.538461538z + z2 = -8.307692308 The z term is 5.538461538z. Take half its coefficient (2.769230769). Square it (7.668639052) and add it to both sides. Add '7.668639052' to each side of the equation. 5.538461538z + 7.668639052 + z2 = -8.307692308 + 7.668639052 Reorder the terms: 7.668639052 + 5.538461538z + z2 = -8.307692308 + 7.668639052 Combine like terms: -8.307692308 + 7.668639052 = -0.639053256 7.668639052 + 5.538461538z + z2 = -0.639053256 Factor a perfect square on the left side: (z + 2.769230769)(z + 2.769230769) = -0.639053256 Can't calculate square root of the right side. The solution to this equation could not be determined.
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