(7/8)w=6

Solution for (7/8)w=6 equation:

(7/8)w=6

We move all terms to the left:

(7/8)w-(6)=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-6=0

We multiply parentheses

7w^2-6=0

a = 7; b = 0; c = -6;
Δ = b2-4ac
Δ = 02-4·7·(-6)
Δ = 168
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:

$\sqrt{\Delta}=\sqrt{168}=\sqrt{4*42}=\sqrt{4}*\sqrt{42}=2\sqrt{42}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{42}}{2*7}=\frac{0-2\sqrt{42}}{14}
=-\frac{2\sqrt{42}}{14}
=-\frac{\sqrt{42}}{7}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{42}}{2*7}=\frac{0+2\sqrt{42}}{14}
=\frac{2\sqrt{42}}{14}
=\frac{\sqrt{42}}{7}
$