-8x=-13.6-1/8x=-13.6

Solution for -8x=-13.6-1/8x=-13.6 equation:

-8x=-13.6-1/8x=-13.6

We move all terms to the left:

-8x-(-13.6-1/8x)=0


Domain of the equation: 8x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-8x-(-1/8x-13.6)=0

We get rid of parentheses

-8x+1/8x+13.6=0

We multiply all the terms by the denominator


-8x*8x+(13.6)*8x+1=0

We multiply parentheses

-8x*8x+108.8x+1=0

Wy multiply elements

-64x^2+108.8x+1=0

a = -64; b = 108.8; c = +1;
Δ = b2-4ac
Δ = 108.82-4·(-64)·1
Δ = 12093.44
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{-(108.8)-\sqrt{12093.44}}{2*-64}=\frac{-108.8-\sqrt{12093.44}}{-128}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(108.8)+\sqrt{12093.44}}{2*-64}=\frac{-108.8+\sqrt{12093.44}}{-128}
$