3x^2-x=660

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

3x^2-x=660

We move all terms to the left:

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

We add all the numbers together, and all the variables

3x^2-1x-660=0

a = 3; b = -1; c = -660;
Δ = b2-4ac
Δ = -12-4·3·(-660)
Δ = 7921
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7921}=89$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-89}{2*3}=\frac{-88}{6}
=-14+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+89}{2*3}=\frac{90}{6}
=15
$