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Simplifying 3z2 + -3z + 1 = 0 Reorder the terms: 1 + -3z + 3z2 = 0 Solving 1 + -3z + 3z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 0.3333333333 + -1z + z2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + -1z + -0.3333333333 + z2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + -1z + z2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + -1z + z2 = 0 + -0.3333333333 -1z + z2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 -1z + z2 = -0.3333333333 The z term is -1z. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1z + 0.25 + z2 = -0.3333333333 + 0.25 Reorder the terms: 0.25 + -1z + z2 = -0.3333333333 + 0.25 Combine like terms: -0.3333333333 + 0.25 = -0.0833333333 0.25 + -1z + z2 = -0.0833333333 Factor a perfect square on the left side: (z + -0.5)(z + -0.5) = -0.0833333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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