-(3/8)w=-21

Solution for -(3/8)w=-21 equation:

-(3/8)w=-21

We move all terms to the left:

-(3/8)w-(-21)=0


Domain of the equation: 8)w!=0

w!=0/1

w!=0

w∈R


We add all the numbers together, and all the variables

-(+3/8)w-(-21)=0

We add all the numbers together, and all the variables

-(+3/8)w+21=0

We multiply parentheses

-3w^2+21=0

a = -3; b = 0; c = +21;
Δ = b2-4ac
Δ = 02-4·(-3)·21
Δ = 252
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:

$\sqrt{\Delta}=\sqrt{252}=\sqrt{36*7}=\sqrt{36}*\sqrt{7}=6\sqrt{7}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{7}}{2*-3}=\frac{0-6\sqrt{7}}{-6}
=-\frac{6\sqrt{7}}{-6}
=-\frac{\sqrt{7}}{-1}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{7}}{2*-3}=\frac{0+6\sqrt{7}}{-6}
=\frac{6\sqrt{7}}{-6}
=\frac{\sqrt{7}}{-1}
$