354=5x^2-x

Solution for 354=5x^2-x equation:

354=5x^2-x

We move all terms to the left:

354-(5x^2-x)=0

We get rid of parentheses

-5x^2+x+354=0

a = -5; b = 1; c = +354;
Δ = b2-4ac
Δ = 12-4·(-5)·354
Δ = 7081
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{7081}}{2*-5}=\frac{-1-\sqrt{7081}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{7081}}{2*-5}=\frac{-1+\sqrt{7081}}{-10}
$