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Simplifying 18z2 + -21z + 28 = 0 Reorder the terms: 28 + -21z + 18z2 = 0 Solving 28 + -21z + 18z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 1.555555556 + -1.166666667z + z2 = 0 Move the constant term to the right: Add '-1.555555556' to each side of the equation. 1.555555556 + -1.166666667z + -1.555555556 + z2 = 0 + -1.555555556 Reorder the terms: 1.555555556 + -1.555555556 + -1.166666667z + z2 = 0 + -1.555555556 Combine like terms: 1.555555556 + -1.555555556 = 0.000000000 0.000000000 + -1.166666667z + z2 = 0 + -1.555555556 -1.166666667z + z2 = 0 + -1.555555556 Combine like terms: 0 + -1.555555556 = -1.555555556 -1.166666667z + z2 = -1.555555556 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 = -1.555555556 + 0.3402777780 Reorder the terms: 0.3402777780 + -1.166666667z + z2 = -1.555555556 + 0.3402777780 Combine like terms: -1.555555556 + 0.3402777780 = -1.215277778 0.3402777780 + -1.166666667z + z2 = -1.215277778 Factor a perfect square on the left side: (z + -0.5833333335)(z + -0.5833333335) = -1.215277778 Can't calculate square root of the right side. The solution to this equation could not be determined.
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