-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 add all the numbers together, and all the variables

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


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

-8x(+6x)

We multiply parentheses

-48x^2

Back to the equation:

-(-48x^2)


We get rid of parentheses

48x^2-13.8x-2=0

a = 48; b = -13.8; c = -2;
Δ = b2-4ac
Δ = -13.82-4·48·(-2)
Δ = 574.44
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{-(-13.8)-\sqrt{574.44}}{2*48}=\frac{13.8-\sqrt{574.44}}{96}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13.8)+\sqrt{574.44}}{2*48}=\frac{13.8+\sqrt{574.44}}{96}
$