(-2/3)w+17=9

Solution for (-2/3)w+17=9 equation:

(-2/3)w+17=9

We move all terms to the left:

(-2/3)w+17-(9)=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

(-2/3)w+8=0

We multiply parentheses

-2w^2+8=0

a = -2; b = 0; c = +8;
Δ = b2-4ac
Δ = 02-4·(-2)·8
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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