4/3w-12=2/2w

Solution for 4/3w-12=2/2w equation:

4/3w-12=2/2w

We move all terms to the left:

4/3w-12-(2/2w)=0


Domain of the equation: 3w!=0

w!=0/3

w!=0

w∈R



Domain of the equation: 2w)!=0

w!=0/1

w!=0

w∈R


We add all the numbers together, and all the variables

4/3w-(+2/2w)-12=0

We get rid of parentheses

4/3w-2/2w-12=0

We calculate fractions


8w/6w^2+(-6w)/6w^2-12=0

We multiply all the terms by the denominator


8w+(-6w)-12*6w^2=0

Wy multiply elements

-72w^2+8w+(-6w)=0

We get rid of parentheses

-72w^2+8w-6w=0

We add all the numbers together, and all the variables

-72w^2+2w=0

a = -72; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-72)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*-72}=\frac{-4}{-144}
=1/36
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-72}=\frac{0}{-144}
=0
$