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Simplifying -1z + -1z(z + -6) = 8 Reorder the terms: -1z + -1z(-6 + z) = 8 -1z + (-6 * -1z + z * -1z) = 8 -1z + (6z + -1z2) = 8 Combine like terms: -1z + 6z = 5z 5z + -1z2 = 8 Solving 5z + -1z2 = 8 Solving for variable 'z'. Reorder the terms: -8 + 5z + -1z2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 5z + -1z2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 8 + -5z + z2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -5z + -8 + z2 = 0 + -8 Reorder the terms: 8 + -8 + -5z + z2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5z + z2 = 0 + -8 -5z + z2 = 0 + -8 Combine like terms: 0 + -8 = -8 -5z + z2 = -8 The z term is -5z. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5z + 6.25 + z2 = -8 + 6.25 Reorder the terms: 6.25 + -5z + z2 = -8 + 6.25 Combine like terms: -8 + 6.25 = -1.75 6.25 + -5z + z2 = -1.75 Factor a perfect square on the left side: (z + -2.5)(z + -2.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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