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

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

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

We move all terms to the left:

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


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

8x(-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^2-21.8x-2=0

a = 48; b = -21.8; c = -2;
Δ = b2-4ac
Δ = -21.82-4·48·(-2)
Δ = 859.24
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{-(-21.8)-\sqrt{859.24}}{2*48}=\frac{21.8-\sqrt{859.24}}{96}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21.8)+\sqrt{859.24}}{2*48}=\frac{21.8+\sqrt{859.24}}{96}
$