6/5w=30w

Solution for 6/5w=30w equation:

6/5w=30w

We move all terms to the left:

6/5w-(30w)=0


Domain of the equation: 5w!=0

w!=0/5

w!=0

w∈R


We add all the numbers together, and all the variables

-30w+6/5w=0

We multiply all the terms by the denominator


-30w*5w+6=0

Wy multiply elements

-150w^2+6=0

a = -150; b = 0; c = +6;
Δ = b2-4ac
Δ = 02-4·(-150)·6
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*-150}=\frac{-60}{-300}
=1/5
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*-150}=\frac{60}{-300}
=-1/5
$