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Simplifying 3z2 + 3z + 14 = 0 Reorder the terms: 14 + 3z + 3z2 = 0 Solving 14 + 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'. 4.666666667 + z + z2 = 0 Move the constant term to the right: Add '-4.666666667' to each side of the equation. 4.666666667 + z + -4.666666667 + z2 = 0 + -4.666666667 Reorder the terms: 4.666666667 + -4.666666667 + z + z2 = 0 + -4.666666667 Combine like terms: 4.666666667 + -4.666666667 = 0.000000000 0.000000000 + z + z2 = 0 + -4.666666667 z + z2 = 0 + -4.666666667 Combine like terms: 0 + -4.666666667 = -4.666666667 z + z2 = -4.666666667 The z term is z. 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. + 0.25 + z2 = -4.666666667 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + z2 = -4.666666667 + 0.25 Combine like terms: -4.666666667 + 0.25 = -4.416666667 1.25 + z2 = -4.416666667 Factor a perfect square on the left side: (z + 0.5)(z + 0.5) = -4.416666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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