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Simplifying 7z2 + 2z + 5 = 0 Reorder the terms: 5 + 2z + 7z2 = 0 Solving 5 + 2z + 7z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.7142857143 + 0.2857142857z + z2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + 0.2857142857z + -0.7142857143 + z2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + 0.2857142857z + z2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + 0.2857142857z + z2 = 0 + -0.7142857143 0.2857142857z + z2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 0.2857142857z + z2 = -0.7142857143 The z term is 0.2857142857z. Take half its coefficient (0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. 0.2857142857z + 0.02040816328 + z2 = -0.7142857143 + 0.02040816328 Reorder the terms: 0.02040816328 + 0.2857142857z + z2 = -0.7142857143 + 0.02040816328 Combine like terms: -0.7142857143 + 0.02040816328 = -0.69387755102 0.02040816328 + 0.2857142857z + z2 = -0.69387755102 Factor a perfect square on the left side: (z + 0.1428571429)(z + 0.1428571429) = -0.69387755102 Can't calculate square root of the right side. The solution to this equation could not be determined.
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