140=6x^2-2x

Solution for 140=6x^2-2x equation:

140=6x^2-2x

We move all terms to the left:

140-(6x^2-2x)=0

We get rid of parentheses

-6x^2+2x+140=0

a = -6; b = 2; c = +140;
Δ = b2-4ac
Δ = 22-4·(-6)·140
Δ = 3364
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3364}=58$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-58}{2*-6}=\frac{-60}{-12}
=+5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+58}{2*-6}=\frac{56}{-12}
=-4+2/3
$