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Simplifying 20z2 + 7z + 1 = 0 Reorder the terms: 1 + 7z + 20z2 = 0 Solving 1 + 7z + 20z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.05 + 0.35z + z2 = 0 Move the constant term to the right: Add '-0.05' to each side of the equation. 0.05 + 0.35z + -0.05 + z2 = 0 + -0.05 Reorder the terms: 0.05 + -0.05 + 0.35z + z2 = 0 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + 0.35z + z2 = 0 + -0.05 0.35z + z2 = 0 + -0.05 Combine like terms: 0 + -0.05 = -0.05 0.35z + z2 = -0.05 The z term is 0.35z. Take half its coefficient (0.175). Square it (0.030625) and add it to both sides. Add '0.030625' to each side of the equation. 0.35z + 0.030625 + z2 = -0.05 + 0.030625 Reorder the terms: 0.030625 + 0.35z + z2 = -0.05 + 0.030625 Combine like terms: -0.05 + 0.030625 = -0.019375 0.030625 + 0.35z + z2 = -0.019375 Factor a perfect square on the left side: (z + 0.175)(z + 0.175) = -0.019375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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