2/5w+4/4w-4=1

Solution for 2/5w+4/4w-4=1 equation:

2/5w+4/4w-4=1

We move all terms to the left:

2/5w+4/4w-4-(1)=0


Domain of the equation: 5w!=0

w!=0/5

w!=0

w∈R



Domain of the equation: 4w!=0

w!=0/4

w!=0

w∈R


We add all the numbers together, and all the variables

2/5w+4/4w-5=0

We calculate fractions


8w/20w^2+20w/20w^2-5=0

We multiply all the terms by the denominator


8w+20w-5*20w^2=0

We add all the numbers together, and all the variables

28w-5*20w^2=0

Wy multiply elements

-100w^2+28w=0

a = -100; b = 28; c = 0;
Δ = b2-4ac
Δ = 282-4·(-100)·0
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28)-28}{2*-100}=\frac{-56}{-200}
=7/25
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+28}{2*-100}=\frac{0}{-200}
=0
$