X+2/5x=-35

Solution for X+2/5x=-35 equation:

X+2/5X=-35

We move all terms to the left:

X+2/5X-(-35)=0


Domain of the equation: 5X!=0

X!=0/5

X!=0

X∈R


We add all the numbers together, and all the variables

X+2/5X+35=0

We multiply all the terms by the denominator


X*5X+35*5X+2=0

Wy multiply elements

5X^2+175X+2=0

a = 5; b = 175; c = +2;
Δ = b2-4ac
Δ = 1752-4·5·2
Δ = 30585
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{-(175)-\sqrt{30585}}{2*5}=\frac{-175-\sqrt{30585}}{10}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(175)+\sqrt{30585}}{2*5}=\frac{-175+\sqrt{30585}}{10}
$