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Simplifying 3Z2 + -18Z + 62 = 0 Reorder the terms: 62 + -18Z + 3Z2 = 0 Solving 62 + -18Z + 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'. 20.66666667 + -6Z + Z2 = 0 Move the constant term to the right: Add '-20.66666667' to each side of the equation. 20.66666667 + -6Z + -20.66666667 + Z2 = 0 + -20.66666667 Reorder the terms: 20.66666667 + -20.66666667 + -6Z + Z2 = 0 + -20.66666667 Combine like terms: 20.66666667 + -20.66666667 = 0.00000000 0.00000000 + -6Z + Z2 = 0 + -20.66666667 -6Z + Z2 = 0 + -20.66666667 Combine like terms: 0 + -20.66666667 = -20.66666667 -6Z + Z2 = -20.66666667 The Z term is -6Z. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6Z + 9 + Z2 = -20.66666667 + 9 Reorder the terms: 9 + -6Z + Z2 = -20.66666667 + 9 Combine like terms: -20.66666667 + 9 = -11.66666667 9 + -6Z + Z2 = -11.66666667 Factor a perfect square on the left side: (Z + -3)(Z + -3) = -11.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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