0.3w+3.9=-3.5-2.5/2w

Solution for 0.3w+3.9=-3.5-2.5/2w equation:

0.3w+3.9=-3.5-2.5/2w

We move all terms to the left:

0.3w+3.9-(-3.5-2.5/2w)=0


Domain of the equation: 2w)!=0

w!=0/1

w!=0

w∈R


We add all the numbers together, and all the variables

0.3w-(-2.5/2w-3.5)+3.9=0

We get rid of parentheses

0.3w+2.5/2w+3.5+3.9=0

We multiply all the terms by the denominator


(0.3w)*2w+(3.5)*2w+(3.9)*2w+2.5=0

We add all the numbers together, and all the variables

(+0.3w)*2w+(3.5)*2w+(3.9)*2w+2.5=0

We multiply parentheses

0w^2+7w+7.8w+2.5=0

We add all the numbers together, and all the variables

w^2+14.8w+2.5=0

a = 1; b = 14.8; c = +2.5;
Δ = b2-4ac
Δ = 14.82-4·1·2.5
Δ = 209.04
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{-(14.8)-\sqrt{209.04}}{2*1}=\frac{-14.8-\sqrt{209.04}}{2}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14.8)+\sqrt{209.04}}{2*1}=\frac{-14.8+\sqrt{209.04}}{2}
$