3x^2+8x=330

Solution for 3x^2+8x=330 equation:

3x^2+8x=330

We move all terms to the left:

3x^2+8x-(330)=0

a = 3; b = 8; c = -330;
Δ = b2-4ac
Δ = 82-4·3·(-330)
Δ = 4024
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:

$\sqrt{\Delta}=\sqrt{4024}=\sqrt{4*1006}=\sqrt{4}*\sqrt{1006}=2\sqrt{1006}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-2\sqrt{1006}}{2*3}=\frac{-8-2\sqrt{1006}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+2\sqrt{1006}}{2*3}=\frac{-8+2\sqrt{1006}}{6}
$