Solve d \pi 2(z) = ((z 1)/2 \pi 1(z) - 1)/2

Evaluate

d π \times 2 z = \frac{\frac{z \times 1}{2} π \times 1 \times z - 1}{2}

Multiply the terms

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2 π d z = \frac{\frac{z \times 1}{2} π \times 1 \times z - 1}{2}

Simplify

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2 π d z = \frac{π z ^{2} - 2}{4}

Rewrite the expression

2 π z d = \frac{π z ^{2} - 2}{4}

Multiply by the reciprocal

2 π z d \times \frac{1}{2 π z} = \frac{π z ^{2} - 2}{4} \times \frac{1}{2 π z}

Multiply

d = \frac{π z ^{2} - 2}{4} \times \frac{1}{2 π z}

Solution

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d = \frac{π z ^{2} - 2}{8 π z}

Solve the equation