(7/8)w=9

Solution for (7/8)w=9 equation:

(7/8)w=9

We move all terms to the left:

(7/8)w-(9)=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

(+7/8)w-9=0

We multiply parentheses

7w^2-9=0

a = 7; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·7·(-9)
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*7}=\frac{0-6\sqrt{7}}{14}
=-\frac{6\sqrt{7}}{14}
=-\frac{3\sqrt{7}}{7}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{7}}{2*7}=\frac{0+6\sqrt{7}}{14}
=\frac{6\sqrt{7}}{14}
=\frac{3\sqrt{7}}{7}
$