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Simplifying 223.35z2 + 2.75z + 14 = 0 Reorder the terms: 14 + 2.75z + 223.35z2 = 0 Solving 14 + 2.75z + 223.35z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 223.35 the coefficient of the squared term: Divide each side by '223.35'. 0.06268188941 + 0.01231251399z + z2 = 0 Move the constant term to the right: Add '-0.06268188941' to each side of the equation. 0.06268188941 + 0.01231251399z + -0.06268188941 + z2 = 0 + -0.06268188941 Reorder the terms: 0.06268188941 + -0.06268188941 + 0.01231251399z + z2 = 0 + -0.06268188941 Combine like terms: 0.06268188941 + -0.06268188941 = 0.00000000000 0.00000000000 + 0.01231251399z + z2 = 0 + -0.06268188941 0.01231251399z + z2 = 0 + -0.06268188941 Combine like terms: 0 + -0.06268188941 = -0.06268188941 0.01231251399z + z2 = -0.06268188941 The z term is 0.01231251399z. Take half its coefficient (0.006156256995). Square it (0.00003789950019) and add it to both sides. Add '0.00003789950019' to each side of the equation. 0.01231251399z + 0.00003789950019 + z2 = -0.06268188941 + 0.00003789950019 Reorder the terms: 0.00003789950019 + 0.01231251399z + z2 = -0.06268188941 + 0.00003789950019 Combine like terms: -0.06268188941 + 0.00003789950019 = -0.06264398990981 0.00003789950019 + 0.01231251399z + z2 = -0.06264398990981 Factor a perfect square on the left side: (z + 0.006156256995)(z + 0.006156256995) = -0.06264398990981 Can't calculate square root of the right side. The solution to this equation could not be determined.
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