6600=(2w-10)(w)

Solution for 6600=(2w-10)(w) equation:

6600=(2w-10)(w)

We move all terms to the left:

6600-((2w-10)(w))=0


We calculate terms in parentheses: -((2w-10)w), so:

(2w-10)w

We multiply parentheses

2w^2-10w

Back to the equation:

-(2w^2-10w)


We get rid of parentheses

-2w^2+10w+6600=0

a = -2; b = 10; c = +6600;
Δ = b2-4ac
Δ = 102-4·(-2)·6600
Δ = 52900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{52900}=230$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-230}{2*-2}=\frac{-240}{-4}
=+60
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+230}{2*-2}=\frac{220}{-4}
=-55
$