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Simplifying -9z2 + 18z + -58 = 0 Reorder the terms: -58 + 18z + -9z2 = 0 Solving -58 + 18z + -9z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 6.444444444 + -2z + z2 = 0 Move the constant term to the right: Add '-6.444444444' to each side of the equation. 6.444444444 + -2z + -6.444444444 + z2 = 0 + -6.444444444 Reorder the terms: 6.444444444 + -6.444444444 + -2z + z2 = 0 + -6.444444444 Combine like terms: 6.444444444 + -6.444444444 = 0.000000000 0.000000000 + -2z + z2 = 0 + -6.444444444 -2z + z2 = 0 + -6.444444444 Combine like terms: 0 + -6.444444444 = -6.444444444 -2z + z2 = -6.444444444 The z term is -2z. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2z + 1 + z2 = -6.444444444 + 1 Reorder the terms: 1 + -2z + z2 = -6.444444444 + 1 Combine like terms: -6.444444444 + 1 = -5.444444444 1 + -2z + z2 = -5.444444444 Factor a perfect square on the left side: (z + -1)(z + -1) = -5.444444444 Can't calculate square root of the right side. The solution to this equation could not be determined.
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