X=14x/2x-14

Solution for X=14x/2x-14 equation:

X=14X/2X-14

We move all terms to the left:

X-(14X/2X-14)=0


Domain of the equation: 2X-14)!=0

X∈R


We get rid of parentheses

X-14X/2X+14=0

We multiply all the terms by the denominator


X*2X-14X+14*2X=0

We add all the numbers together, and all the variables

-14X+X*2X+14*2X=0

Wy multiply elements

2X^2-14X+28X=0

We add all the numbers together, and all the variables

2X^2+14X=0

a = 2; b = 14; c = 0;
Δ = b2-4ac
Δ = 142-4·2·0
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*2}=\frac{-28}{4}
=-7
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+14}{2*2}=\frac{0}{4}
=0
$