2/3x-1/5x=14/50

Solution for 2/3x-1/5x=14/50 equation:

2/3x-1/5x=14/50

We move all terms to the left:

2/3x-1/5x-(14/50)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R



Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We add all the numbers together, and all the variables

2/3x-1/5x-(+14/50)=0

We get rid of parentheses

2/3x-1/5x-14/50=0

We calculate fractions


(-1050x^2)/3750x^2+2500x/3750x^2+(-750x)/3750x^2=0

We multiply all the terms by the denominator


(-1050x^2)+2500x+(-750x)=0

We get rid of parentheses

-1050x^2+2500x-750x=0

We add all the numbers together, and all the variables

-1050x^2+1750x=0

a = -1050; b = 1750; c = 0;
Δ = b2-4ac
Δ = 17502-4·(-1050)·0
Δ = 3062500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3062500}=1750$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1750)-1750}{2*-1050}=\frac{-3500}{-2100}
=1+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1750)+1750}{2*-1050}=\frac{0}{-2100}
=0
$