-2-13.8x=-8.x(6x+1)

Solution for -2-13.8x=-8.x(6x+1) equation:

-2-13.8x=-8.x(6x+1)

We move all terms to the left:

-2-13.8x-(-8.x(6x+1))=0


We calculate terms in parentheses: -(-8.x(6x+1)), so:

-8.x(6x+1)

We multiply parentheses

-48x^2-8x

Back to the equation:

-(-48x^2-8x)


We get rid of parentheses

48x^2+8x-13.8x-2=0

We add all the numbers together, and all the variables

48x^2-5.8x-2=0

a = 48; b = -5.8; c = -2;
Δ = b2-4ac
Δ = -5.82-4·48·(-2)
Δ = 417.64
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{-(-5.8)-\sqrt{417.64}}{2*48}=\frac{5.8-\sqrt{417.64}}{96}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5.8)+\sqrt{417.64}}{2*48}=\frac{5.8+\sqrt{417.64}}{96}
$