-31/8x-3/5x=-179/60

Solution for -31/8x-3/5x=-179/60 equation:

-31/8x-3/5x=-179/60

We move all terms to the left:

-31/8x-3/5x-(-179/60)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R



Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We get rid of parentheses

-31/8x-3/5x+179/60=0

We calculate fractions


35800x^2/14400x^2+(-55800x)/14400x^2+(-8640x)/14400x^2=0

We multiply all the terms by the denominator


35800x^2+(-55800x)+(-8640x)=0

We get rid of parentheses

35800x^2-55800x-8640x=0

We add all the numbers together, and all the variables

35800x^2-64440x=0

a = 35800; b = -64440; c = 0;
Δ = b2-4ac
Δ = -644402-4·35800·0
Δ = 4152513600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4152513600}=64440$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-64440)-64440}{2*35800}=\frac{0}{71600}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-64440)+64440}{2*35800}=\frac{128880}{71600}
=1+4/5
$