Basic Math Examples

$z^{3} = \frac{1}{2} \cdot (z + 1)$

Step 1

Simplify $\frac{1}{2} \cdot (z + 1)$ .

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Step 1.1

Apply the distributive property.

$z^{3} = \frac{1}{2} z + \frac{1}{2} \cdot 1$

Step 1.2

Combine $\frac{1}{2}$ and $z$ .

$z^{3} = \frac{z}{2} + \frac{1}{2} \cdot 1$

Step 1.3

Multiply $\frac{1}{2}$ by $1$ .

$z^{3} = \frac{z}{2} + \frac{1}{2}$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$z = 1$

Step 3