8b^2-144=-24b

Solution for 8b^2-144=-24b equation:

8b^2-144=-24b

We move all terms to the left:

8b^2-144-(-24b)=0

We get rid of parentheses

8b^2+24b-144=0

a = 8; b = 24; c = -144;
Δ = b2-4ac
Δ = 242-4·8·(-144)
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-72}{2*8}=\frac{-96}{16}
=-6
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+72}{2*8}=\frac{48}{16}
=3
$