3x^2-2x=133

Solution for 3x^2-2x=133 equation:

3x^2-2x=133

We move all terms to the left:

3x^2-2x-(133)=0

a = 3; b = -2; c = -133;
Δ = b2-4ac
Δ = -22-4·3·(-133)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-40}{2*3}=\frac{-38}{6}
=-6+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+40}{2*3}=\frac{42}{6}
=7
$