-14+2x=1+7x/x=3

Solution for -14+2x=1+7x/x=3 equation:

-14+2x=1+7x/x=3

We move all terms to the left:

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


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We multiply all the terms by the denominator


2x*x-7x-1*x-14*x=0

We add all the numbers together, and all the variables

-22x+2x*x=0

Wy multiply elements

2x^2-22x=0

a = 2; b = -22; c = 0;
Δ = b2-4ac
Δ = -222-4·2·0
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-22)-22}{2*2}=\frac{0}{4}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22)+22}{2*2}=\frac{44}{4}
=11
$