3x^2+2x=660

Solution for 3x^2+2x=660 equation:

3x^2+2x=660

We move all terms to the left:

3x^2+2x-(660)=0

a = 3; b = 2; c = -660;
Δ = b2-4ac
Δ = 22-4·3·(-660)
Δ = 7924
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:

$\sqrt{\Delta}=\sqrt{7924}=\sqrt{4*1981}=\sqrt{4}*\sqrt{1981}=2\sqrt{1981}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{1981}}{2*3}=\frac{-2-2\sqrt{1981}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{1981}}{2*3}=\frac{-2+2\sqrt{1981}}{6}
$