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Simplifying 6z2 + 7z + 3 = 0 Reorder the terms: 3 + 7z + 6z2 = 0 Solving 3 + 7z + 6z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.5 + 1.166666667z + z2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 1.166666667z + -0.5 + z2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 1.166666667z + z2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1.166666667z + z2 = 0 + -0.5 1.166666667z + z2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 1.166666667z + z2 = -0.5 The z term is 1.166666667z. Take half its coefficient (0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. 1.166666667z + 0.3402777780 + z2 = -0.5 + 0.3402777780 Reorder the terms: 0.3402777780 + 1.166666667z + z2 = -0.5 + 0.3402777780 Combine like terms: -0.5 + 0.3402777780 = -0.159722222 0.3402777780 + 1.166666667z + z2 = -0.159722222 Factor a perfect square on the left side: (z + 0.5833333335)(z + 0.5833333335) = -0.159722222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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