w+0/75w=24

Solution for w+0/75w=24 equation:

w+0/75w=24

We move all terms to the left:

w+0/75w-(24)=0


Domain of the equation: 75w!=0

w!=0/75

w!=0

w∈R


We multiply all the terms by the denominator


w*75w-24*75w+0=0

We add all the numbers together, and all the variables

w*75w-24*75w=0

Wy multiply elements

75w^2-1800w=0

a = 75; b = -1800; c = 0;
Δ = b2-4ac
Δ = -18002-4·75·0
Δ = 3240000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3240000}=1800$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1800)-1800}{2*75}=\frac{0}{150}
=0
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1800)+1800}{2*75}=\frac{3600}{150}
=24
$