360+3/50x-60=2/25x

Solution for 360+3/50x-60=2/25x equation:

360+3/50x-60=2/25x

We move all terms to the left:

360+3/50x-60-(2/25x)=0


Domain of the equation: 50x!=0

x!=0/50

x!=0

x∈R



Domain of the equation: 25x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

3/50x-(+2/25x)+360-60=0

We add all the numbers together, and all the variables

3/50x-(+2/25x)+300=0

We get rid of parentheses

3/50x-2/25x+300=0

We calculate fractions


75x/1250x^2+(-100x)/1250x^2+300=0

We multiply all the terms by the denominator


75x+(-100x)+300*1250x^2=0

Wy multiply elements

375000x^2+75x+(-100x)=0

We get rid of parentheses

375000x^2+75x-100x=0

We add all the numbers together, and all the variables

375000x^2-25x=0

a = 375000; b = -25; c = 0;
Δ = b2-4ac
Δ = -252-4·375000·0
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{-(-25)-25}{2*375000}=\frac{0}{750000}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+25}{2*375000}=\frac{50}{750000}
=1/15000
$