-2=-76x^2+74x

Solution for -2=-76x^2+74x equation:

-2=-76x^2+74x

We move all terms to the left:

-2-(-76x^2+74x)=0

We get rid of parentheses

76x^2-74x-2=0

a = 76; b = -74; c = -2;
Δ = b2-4ac
Δ = -742-4·76·(-2)
Δ = 6084
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6084}=78$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-74)-78}{2*76}=\frac{-4}{152}
=-1/38
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-74)+78}{2*76}=\frac{152}{152}
=1
$