8x^2+8x=240

Solution for 8x^2+8x=240 equation:

8x^2+8x=240

We move all terms to the left:

8x^2+8x-(240)=0

a = 8; b = 8; c = -240;
Δ = b2-4ac
Δ = 82-4·8·(-240)
Δ = 7744
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7744}=88$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-88}{2*8}=\frac{-96}{16}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+88}{2*8}=\frac{80}{16}
=5
$