X=2/7x-5

Solution for X=2/7x-5 equation:

X=2/7X-5

We move all terms to the left:

X-(2/7X-5)=0


Domain of the equation: 7X-5)!=0

X∈R


We get rid of parentheses

X-2/7X+5=0

We multiply all the terms by the denominator


X*7X+5*7X-2=0

Wy multiply elements

7X^2+35X-2=0

a = 7; b = 35; c = -2;
Δ = b2-4ac
Δ = 352-4·7·(-2)
Δ = 1281
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-\sqrt{1281}}{2*7}=\frac{-35-\sqrt{1281}}{14}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+\sqrt{1281}}{2*7}=\frac{-35+\sqrt{1281}}{14}
$