-334-13x=-5x-8x^2+2

Solution for -334-13x=-5x-8x^2+2 equation:

-334-13x=-5x-8x^2+2

We move all terms to the left:

-334-13x-(-5x-8x^2+2)=0

We get rid of parentheses

8x^2+5x-13x-2-334=0

We add all the numbers together, and all the variables

8x^2-8x-336=0

a = 8; b = -8; c = -336;
Δ = b2-4ac
Δ = -82-4·8·(-336)
Δ = 10816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10816}=104$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-104}{2*8}=\frac{-96}{16}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+104}{2*8}=\frac{112}{16}
=7
$