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Simplifying 223.45z2 + 2.75z + 14 = 0 Reorder the terms: 14 + 2.75z + 223.45z2 = 0 Solving 14 + 2.75z + 223.45z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 223.45 the coefficient of the squared term: Divide each side by '223.45'. 0.06265383755 + 0.0123070038z + z2 = 0 Move the constant term to the right: Add '-0.06265383755' to each side of the equation. 0.06265383755 + 0.0123070038z + -0.06265383755 + z2 = 0 + -0.06265383755 Reorder the terms: 0.06265383755 + -0.06265383755 + 0.0123070038z + z2 = 0 + -0.06265383755 Combine like terms: 0.06265383755 + -0.06265383755 = 0.00000000000 0.00000000000 + 0.0123070038z + z2 = 0 + -0.06265383755 0.0123070038z + z2 = 0 + -0.06265383755 Combine like terms: 0 + -0.06265383755 = -0.06265383755 0.0123070038z + z2 = -0.06265383755 The z term is 0.0123070038z. Take half its coefficient (0.0061535019). Square it (0.00003786558563) and add it to both sides. Add '0.00003786558563' to each side of the equation. 0.0123070038z + 0.00003786558563 + z2 = -0.06265383755 + 0.00003786558563 Reorder the terms: 0.00003786558563 + 0.0123070038z + z2 = -0.06265383755 + 0.00003786558563 Combine like terms: -0.06265383755 + 0.00003786558563 = -0.06261597196437 0.00003786558563 + 0.0123070038z + z2 = -0.06261597196437 Factor a perfect square on the left side: (z + 0.0061535019)(z + 0.0061535019) = -0.06261597196437 Can't calculate square root of the right side. The solution to this equation could not be determined.
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