-(-5+x+1/5x)=70

Solution for -(-5+x+1/5x)=70 equation:

-(-5+x+1/5x)=70

We move all terms to the left:

-(-5+x+1/5x)-(70)=0


Domain of the equation: 5x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(x+1/5x-5)-70=0

We get rid of parentheses

-x-1/5x+5-70=0

We multiply all the terms by the denominator


-x*5x+5*5x-70*5x-1=0

Wy multiply elements

-5x^2+25x-350x-1=0

We add all the numbers together, and all the variables

-5x^2-325x-1=0

a = -5; b = -325; c = -1;
Δ = b2-4ac
Δ = -3252-4·(-5)·(-1)
Δ = 105605
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{-(-325)-\sqrt{105605}}{2*-5}=\frac{325-\sqrt{105605}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-325)+\sqrt{105605}}{2*-5}=\frac{325+\sqrt{105605}}{-10}
$