-108=35x^2-123x

Solution for -108=35x^2-123x equation:

-108=35x^2-123x

We move all terms to the left:

-108-(35x^2-123x)=0

We get rid of parentheses

-35x^2+123x-108=0

a = -35; b = 123; c = -108;
Δ = b2-4ac
Δ = 1232-4·(-35)·(-108)
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(123)-3}{2*-35}=\frac{-126}{-70}
=1+4/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(123)+3}{2*-35}=\frac{-120}{-70}
=1+5/7
$