-(4/3)w-4=-24

Solution for -(4/3)w-4=-24 equation:

-(4/3)w-4=-24

We move all terms to the left:

-(4/3)w-4-(-24)=0


Domain of the equation: 3)w!=0

w!=0/1

w!=0

w∈R


We add all the numbers together, and all the variables

-(+4/3)w-4-(-24)=0

We add all the numbers together, and all the variables

-(+4/3)w+20=0

We multiply parentheses

-4w^2+20=0

a = -4; b = 0; c = +20;
Δ = b2-4ac
Δ = 02-4·(-4)·20
Δ = 320
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{320}=\sqrt{64*5}=\sqrt{64}*\sqrt{5}=8\sqrt{5}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{5}}{2*-4}=\frac{0-8\sqrt{5}}{-8}
=-\frac{8\sqrt{5}}{-8}
=-\frac{\sqrt{5}}{-1}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{5}}{2*-4}=\frac{0+8\sqrt{5}}{-8}
=\frac{8\sqrt{5}}{-8}
=\frac{\sqrt{5}}{-1}
$