6w=48/6,7,8

Solution for 6w=48/6,7,8 equation:

6w=48/6.7.8

We move all terms to the left:

6w-(48/6.7.8)=0

We add all the numbers together, and all the variables

6w-(+48/6.7.8)=0

We get rid of parentheses

6w-48/6.7.8=0

We multiply all the terms by the denominator


6w*6.7.8-48=0

Wy multiply elements

36w^2-48=0

a = 36; b = 0; c = -48;
Δ = b2-4ac
Δ = 02-4·36·(-48)
Δ = 6912
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:

$\sqrt{\Delta}=\sqrt{6912}=\sqrt{2304*3}=\sqrt{2304}*\sqrt{3}=48\sqrt{3}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{3}}{2*36}=\frac{0-48\sqrt{3}}{72}
=-\frac{48\sqrt{3}}{72}
=-\frac{2\sqrt{3}}{3}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{3}}{2*36}=\frac{0+48\sqrt{3}}{72}
=\frac{48\sqrt{3}}{72}
=\frac{2\sqrt{3}}{3}
$