w2-6w=20-5w

Solution for w2-6w=20-5w equation:

w2-6w=20-5w

We move all terms to the left:

w2-6w-(20-5w)=0

We add all the numbers together, and all the variables

w2-6w-(-5w+20)=0

We add all the numbers together, and all the variables

w^2-6w-(-5w+20)=0

We get rid of parentheses

w^2-6w+5w-20=0

We add all the numbers together, and all the variables

w^2-1w-20=0

a = 1; b = -1; c = -20;
Δ = b2-4ac
Δ = -12-4·1·(-20)
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-9}{2*1}=\frac{-8}{2}
=-4
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+9}{2*1}=\frac{10}{2}
=5
$