2/5x-1=15,x=

Solution for 2/5x-1=15,x= equation:

2/5x-1=15.x=

We move all terms to the left:

2/5x-1-(15.x)=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-(+15.x)-1=0

We get rid of parentheses

2/5x-15.x-1=0

We multiply all the terms by the denominator


-(15.x)*5x-1*5x+2=0

We add all the numbers together, and all the variables

-(+15.x)*5x-1*5x+2=0

We multiply parentheses

-75x^2-1*5x+2=0

Wy multiply elements

-75x^2-5x+2=0

a = -75; b = -5; c = +2;
Δ = b2-4ac
Δ = -52-4·(-75)·2
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-25}{2*-75}=\frac{-20}{-150}
=2/15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+25}{2*-75}=\frac{30}{-150}
=-1/5
$