14-x=7(2-1/7x)

Solution for 14-x=7(2-1/7x) equation:

14-x=7(2-1/7x)

We move all terms to the left:

14-x-(7(2-1/7x))=0


Domain of the equation: 7x))!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-x-(7(-1/7x+2))+14=0

We add all the numbers together, and all the variables

-1x-(7(-1/7x+2))+14=0

We multiply all the terms by the denominator


-1x*7x+14*7x-1+2))-(7(+2))=0

We add all the numbers together, and all the variables

-1x*7x+14*7x-1+2))-(72)=0

We add all the numbers together, and all the variables

-1x*7x+14*7x=0

Wy multiply elements

-7x^2+98x=0

a = -7; b = 98; c = 0;
Δ = b2-4ac
Δ = 982-4·(-7)·0
Δ = 9604
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9604}=98$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(98)-98}{2*-7}=\frac{-196}{-14}
=+14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(98)+98}{2*-7}=\frac{0}{-14}
=0
$