8x/14x=x

Solution for 8x/14x=x equation:

8x/14x=x

We move all terms to the left:

8x/14x-(x)=0


Domain of the equation: 14x!=0

x!=0/14

x!=0

x∈R


We add all the numbers together, and all the variables

-1x+8x/14x=0

We multiply all the terms by the denominator


-1x*14x+8x=0

We add all the numbers together, and all the variables

8x-1x*14x=0

Wy multiply elements

-14x^2+8x=0

a = -14; b = 8; c = 0;
Δ = b2-4ac
Δ = 82-4·(-14)·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-8}{2*-14}=\frac{-16}{-28}
=4/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+8}{2*-14}=\frac{0}{-28}
=0
$