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

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

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

We move all terms to the left:

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


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

-8x-(6x+1)x

We multiply parentheses

-6x^2-8x-x

We add all the numbers together, and all the variables

-6x^2-9x

Back to the equation:

-(-6x^2-9x)


We get rid of parentheses

6x^2+9x-13.8x-2=0

We add all the numbers together, and all the variables

6x^2-4.8x-2=0

a = 6; b = -4.8; c = -2;
Δ = b2-4ac
Δ = -4.82-4·6·(-2)
Δ = 71.04
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{-(-4.8)-\sqrt{71.04}}{2*6}=\frac{4.8-\sqrt{71.04}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4.8)+\sqrt{71.04}}{2*6}=\frac{4.8+\sqrt{71.04}}{12}
$