145=6x^2-x

Solution for 145=6x^2-x equation:

145=6x^2-x

We move all terms to the left:

145-(6x^2-x)=0

We get rid of parentheses

-6x^2+x+145=0

a = -6; b = 1; c = +145;
Δ = b2-4ac
Δ = 12-4·(-6)·145
Δ = 3481
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3481}=59$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-59}{2*-6}=\frac{-60}{-12}
=+5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+59}{2*-6}=\frac{58}{-12}
=-4+5/6
$