3/7w+2w=3

Solution for 3/7w+2w=3 equation:

3/7w+2w=3

We move all terms to the left:

3/7w+2w-(3)=0


Domain of the equation: 7w!=0

w!=0/7

w!=0

w∈R


We add all the numbers together, and all the variables

2w+3/7w-3=0

We multiply all the terms by the denominator


2w*7w-3*7w+3=0

Wy multiply elements

14w^2-21w+3=0

a = 14; b = -21; c = +3;
Δ = b2-4ac
Δ = -212-4·14·3
Δ = 273
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{-(-21)-\sqrt{273}}{2*14}=\frac{21-\sqrt{273}}{28}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21)+\sqrt{273}}{2*14}=\frac{21+\sqrt{273}}{28}
$