w-24-54/55w=-79

Solution for w-24-54/55w=-79 equation:

w-24-54/55w=-79

We move all terms to the left:

w-24-54/55w-(-79)=0


Domain of the equation: 55w!=0

w!=0/55

w!=0

w∈R


We add all the numbers together, and all the variables

w-54/55w+55=0

We multiply all the terms by the denominator


w*55w+55*55w-54=0

Wy multiply elements

55w^2+3025w-54=0

a = 55; b = 3025; c = -54;
Δ = b2-4ac
Δ = 30252-4·55·(-54)
Δ = 9162505
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{-(3025)-\sqrt{9162505}}{2*55}=\frac{-3025-\sqrt{9162505}}{110}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3025)+\sqrt{9162505}}{2*55}=\frac{-3025+\sqrt{9162505}}{110}
$