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Simplifying 0.7z2 + -28z + 12000 = 0 Reorder the terms: 12000 + -28z + 0.7z2 = 0 Solving 12000 + -28z + 0.7z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 0.7 the coefficient of the squared term: Divide each side by '0.7'. 17142.85714 + -40z + z2 = 0 Move the constant term to the right: Add '-17142.85714' to each side of the equation. 17142.85714 + -40z + -17142.85714 + z2 = 0 + -17142.85714 Reorder the terms: 17142.85714 + -17142.85714 + -40z + z2 = 0 + -17142.85714 Combine like terms: 17142.85714 + -17142.85714 = 0.00000 0.00000 + -40z + z2 = 0 + -17142.85714 -40z + z2 = 0 + -17142.85714 Combine like terms: 0 + -17142.85714 = -17142.85714 -40z + z2 = -17142.85714 The z term is -40z. Take half its coefficient (-20). Square it (400) and add it to both sides. Add '400' to each side of the equation. -40z + 400 + z2 = -17142.85714 + 400 Reorder the terms: 400 + -40z + z2 = -17142.85714 + 400 Combine like terms: -17142.85714 + 400 = -16742.85714 400 + -40z + z2 = -16742.85714 Factor a perfect square on the left side: (z + -20)(z + -20) = -16742.85714 Can't calculate square root of the right side. The solution to this equation could not be determined.
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