(5/7)x-x=14

Solution for (5/7)x-x=14 equation:

(5/7)x-x=14

We move all terms to the left:

(5/7)x-x-(14)=0


Domain of the equation: 7)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+5/7)x-x-14=0

We add all the numbers together, and all the variables

-1x+(+5/7)x-14=0

We multiply parentheses

5x^2-1x-14=0

a = 5; b = -1; c = -14;
Δ = b2-4ac
Δ = -12-4·5·(-14)
Δ = 281
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{-(-1)-\sqrt{281}}{2*5}=\frac{1-\sqrt{281}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{281}}{2*5}=\frac{1+\sqrt{281}}{10}
$