8z*8z=15+2z

Solution for 8z*8z=15+2z equation:

8z*8z=15+2z

We move all terms to the left:

8z*8z-(15+2z)=0

We add all the numbers together, and all the variables

8z*8z-(2z+15)=0

Wy multiply elements

64z^2-(2z+15)=0

We get rid of parentheses

64z^2-2z-15=0

a = 64; b = -2; c = -15;
Δ = b2-4ac
Δ = -22-4·64·(-15)
Δ = 3844
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3844}=62$
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-62}{2*64}=\frac{-60}{128}
=-15/32
$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+62}{2*64}=\frac{64}{128}
=1/2
$