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

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

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

We move all terms to the left:

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


Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R


We add all the numbers together, and all the variables

-14x-7/7x+9=0

We multiply all the terms by the denominator


-14x*7x+9*7x-7=0

Wy multiply elements

-98x^2+63x-7=0

a = -98; b = 63; c = -7;
Δ = b2-4ac
Δ = 632-4·(-98)·(-7)
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(63)-35}{2*-98}=\frac{-98}{-196}
=1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(63)+35}{2*-98}=\frac{-28}{-196}
=1/7
$