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Simplifying 7z2 + 4z + 8 = 0 Reorder the terms: 8 + 4z + 7z2 = 0 Solving 8 + 4z + 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'. 1.142857143 + 0.5714285714z + z2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + 0.5714285714z + -1.142857143 + z2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + 0.5714285714z + z2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + 0.5714285714z + z2 = 0 + -1.142857143 0.5714285714z + z2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 0.5714285714z + z2 = -1.142857143 The z term is 0.5714285714z. Take half its coefficient (0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. 0.5714285714z + 0.08163265305 + z2 = -1.142857143 + 0.08163265305 Reorder the terms: 0.08163265305 + 0.5714285714z + z2 = -1.142857143 + 0.08163265305 Combine like terms: -1.142857143 + 0.08163265305 = -1.06122448995 0.08163265305 + 0.5714285714z + z2 = -1.06122448995 Factor a perfect square on the left side: (z + 0.2857142857)(z + 0.2857142857) = -1.06122448995 Can't calculate square root of the right side. The solution to this equation could not be determined.
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