-38/1x-3/5x=-179/60

Solution for -38/1x-3/5x=-179/60 equation:

-38/1x-3/5x=-179/60

We move all terms to the left:

-38/1x-3/5x-(-179/60)=0


Domain of the equation: 1x!=0

x∈R



Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We get rid of parentheses

-38/1x-3/5x+179/60=0

We calculate fractions


4475x^2/1800x^2+(-68400x)/1800x^2+(-1080x)/1800x^2=0

We multiply all the terms by the denominator


4475x^2+(-68400x)+(-1080x)=0

We get rid of parentheses

4475x^2-68400x-1080x=0

We add all the numbers together, and all the variables

4475x^2-69480x=0

a = 4475; b = -69480; c = 0;
Δ = b2-4ac
Δ = -694802-4·4475·0
Δ = 4827470400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4827470400}=69480$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-69480)-69480}{2*4475}=\frac{0}{8950}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-69480)+69480}{2*4475}=\frac{138960}{8950}
=15+471/895
$