3/5w=21-2w

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Solution for 3/5w=21-2w equation: 



3/5w=21-2w

We move all terms to the left:

3/5w-(21-2w)=0



Domain of the equation: 5w!=0

w!=0/5

w!=0

w∈R



We add all the numbers together, and all the variables

3/5w-(-2w+21)=0

We get rid of parentheses

3/5w+2w-21=0

We multiply all the terms by the denominator


2w*5w-21*5w+3=0

Wy multiply elements

10w^2-105w+3=0

a = 10; b = -105; c = +3;
Δ = b2-4ac
Δ = -1052-4·10·3
Δ = 10905
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-105)-\sqrt{10905}}{2*10}=\frac{105-\sqrt{10905}}{20}
$


$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-105)+\sqrt{10905}}{2*10}=\frac{105+\sqrt{10905}}{20}
$

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