60/8x=3(x)/5x

Solution for 60/8x=3(x)/5x equation:

60/8x=3(x)/5x

We move all terms to the left:

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


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R



Domain of the equation: 5x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

60/8x-(+3x/5x)=0

We get rid of parentheses

60/8x-3x/5x=0

We calculate fractions


(-24x^2)/40x^2+300x/40x^2=0

We multiply all the terms by the denominator


(-24x^2)+300x=0

We get rid of parentheses

-24x^2+300x=0

a = -24; b = 300; c = 0;
Δ = b2-4ac
Δ = 3002-4·(-24)·0
Δ = 90000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{90000}=300$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(300)-300}{2*-24}=\frac{-600}{-48}
=12+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(300)+300}{2*-24}=\frac{0}{-48}
=0
$