8x^2+48x=330

Solution for 8x^2+48x=330 equation:

8x^2+48x=330

We move all terms to the left:

8x^2+48x-(330)=0

a = 8; b = 48; c = -330;
Δ = b2-4ac
Δ = 482-4·8·(-330)
Δ = 12864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{12864}=\sqrt{64*201}=\sqrt{64}*\sqrt{201}=8\sqrt{201}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(48)-8\sqrt{201}}{2*8}=\frac{-48-8\sqrt{201}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(48)+8\sqrt{201}}{2*8}=\frac{-48+8\sqrt{201}}{16}
$