2/5x-2+3(x-11)=50

Solution for 2/5x-2+3(x-11)=50 equation:

2/5x-2+3(x-11)=50

We move all terms to the left:

2/5x-2+3(x-11)-(50)=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We add all the numbers together, and all the variables

2/5x+3(x-11)-52=0

We multiply parentheses

2/5x+3x-33-52=0

We multiply all the terms by the denominator


3x*5x-33*5x-52*5x+2=0

Wy multiply elements

15x^2-165x-260x+2=0

We add all the numbers together, and all the variables

15x^2-425x+2=0

a = 15; b = -425; c = +2;
Δ = b2-4ac
Δ = -4252-4·15·2
Δ = 180505
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{-(-425)-\sqrt{180505}}{2*15}=\frac{425-\sqrt{180505}}{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-425)+\sqrt{180505}}{2*15}=\frac{425+\sqrt{180505}}{30}
$