.12/x=8-8x

Solution for .12/x=8-8x equation:

.12/x=8-8x

We move all terms to the left:

.12/x-(8-8x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

.12/x-(-8x+8)=0

We get rid of parentheses

.12/x+8x-8=0

We multiply all the terms by the denominator


8x*x-8*x+.12=0

We add all the numbers together, and all the variables

-8x+8x*x+0.12=0

Wy multiply elements

8x^2-8x+0.12=0

a = 8; b = -8; c = +0.12;
Δ = b2-4ac
Δ = -82-4·8·0.12
Δ = 60.16
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{-(-8)-\sqrt{60.16}}{2*8}=\frac{8-\sqrt{60.16}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+\sqrt{60.16}}{2*8}=\frac{8+\sqrt{60.16}}{16}
$