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Simplifying z2(1 + -1z2) = 16 (1 * z2 + -1z2 * z2) = 16 (1z2 + -1z4) = 16 Solving 1z2 + -1z4 = 16 Solving for variable 'z'. Reorder the terms: -16 + 1z2 + -1z4 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 1z2 + -1z4 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 16 + -1z2 + z4 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + -1z2 + -16 + z4 = 0 + -16 Reorder the terms: 16 + -16 + -1z2 + z4 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1z2 + z4 = 0 + -16 -1z2 + z4 = 0 + -16 Combine like terms: 0 + -16 = -16 -1z2 + z4 = -16 The z term is -1z2. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1z2 + 0.25 + z4 = -16 + 0.25 Reorder the terms: 0.25 + -1z2 + z4 = -16 + 0.25 Combine like terms: -16 + 0.25 = -15.75 0.25 + -1z2 + z4 = -15.75 Factor a perfect square on the left side: (z2 + -0.5)(z2 + -0.5) = -15.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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