x+8/8x=8x=

Solution for x+8/8x=8x= equation:

x+8/8x=8x=

We move all terms to the left:

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


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R


We add all the numbers together, and all the variables

-7x+8/8x=0

We multiply all the terms by the denominator


-7x*8x+8=0

Wy multiply elements

-56x^2+8=0

a = -56; b = 0; c = +8;
Δ = b2-4ac
Δ = 02-4·(-56)·8
Δ = 1792
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1792}=\sqrt{256*7}=\sqrt{256}*\sqrt{7}=16\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{7}}{2*-56}=\frac{0-16\sqrt{7}}{-112}
=-\frac{16\sqrt{7}}{-112}
=-\frac{\sqrt{7}}{-7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{7}}{2*-56}=\frac{0+16\sqrt{7}}{-112}
=\frac{16\sqrt{7}}{-112}
=\frac{\sqrt{7}}{-7}
$