60/3x-30/2x=30/3

Solution for 60/3x-30/2x=30/3 equation:

60/3x-30/2x=30/3

We move all terms to the left:

60/3x-30/2x-(30/3)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

60/3x-30/2x-10=0

We calculate fractions


120x/6x^2+(-90x)/6x^2-10=0

We multiply all the terms by the denominator


120x+(-90x)-10*6x^2=0

Wy multiply elements

-60x^2+120x+(-90x)=0

We get rid of parentheses

-60x^2+120x-90x=0

We add all the numbers together, and all the variables

-60x^2+30x=0

a = -60; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·(-60)·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*-60}=\frac{-60}{-120}
=1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*-60}=\frac{0}{-120}
=0
$