8x^2=-72x-144

Solution for 8x^2=-72x-144 equation:

8x^2=-72x-144

We move all terms to the left:

8x^2-(-72x-144)=0

We get rid of parentheses

8x^2+72x+144=0

a = 8; b = 72; c = +144;
Δ = b2-4ac
Δ = 722-4·8·144
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(72)-24}{2*8}=\frac{-96}{16}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(72)+24}{2*8}=\frac{-48}{16}
=-3
$