8z2+3z-675=0

Solution for 8z2+3z-675=0 equation:

8z^2+3z-675=0

a = 8; b = 3; c = -675;
Δ = b2-4ac
Δ = 32-4·8·(-675)
Δ = 21609
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{21609}=147$
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-147}{2*8}=\frac{-150}{16}
=-9+3/8
$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+147}{2*8}=\frac{144}{16}
=9
$