6w-8w(w=8)

Solution for 6w-8w(w=8) equation:

6w-8w(w=8)

We move all terms to the left:

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

We multiply parentheses

-8w^2+6w+64w=0

We add all the numbers together, and all the variables

-8w^2+70w=0

a = -8; b = 70; c = 0;
Δ = b2-4ac
Δ = 702-4·(-8)·0
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(70)-70}{2*-8}=\frac{-140}{-16}
=8+3/4
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(70)+70}{2*-8}=\frac{0}{-16}
=0
$