14x/196x=x

Solution for 14x/196x=x equation:

14x/196x=x

We move all terms to the left:

14x/196x-(x)=0


Domain of the equation: 196x!=0

x!=0/196

x!=0

x∈R


We add all the numbers together, and all the variables

-1x+14x/196x=0

We multiply all the terms by the denominator


-1x*196x+14x=0

We add all the numbers together, and all the variables

14x-1x*196x=0

Wy multiply elements

-196x^2+14x=0

a = -196; b = 14; c = 0;
Δ = b2-4ac
Δ = 142-4·(-196)·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-14}{2*-196}=\frac{-28}{-392}
=1/14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+14}{2*-196}=\frac{0}{-392}
=0
$