(6w*6w)=600

Solution for (6w*6w)=600 equation:

(6w*6w)=600

We move all terms to the left:

(6w*6w)-(600)=0

We add all the numbers together, and all the variables

(+6w*6w)-600=0

We get rid of parentheses

6w*6w-600=0

Wy multiply elements

36w^2-600=0

a = 36; b = 0; c = -600;
Δ = b2-4ac
Δ = 02-4·36·(-600)
Δ = 86400
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:

$\sqrt{\Delta}=\sqrt{86400}=\sqrt{14400*6}=\sqrt{14400}*\sqrt{6}=120\sqrt{6}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120\sqrt{6}}{2*36}=\frac{0-120\sqrt{6}}{72}
=-\frac{120\sqrt{6}}{72}
=-\frac{5\sqrt{6}}{3}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120\sqrt{6}}{2*36}=\frac{0+120\sqrt{6}}{72}
=\frac{120\sqrt{6}}{72}
=\frac{5\sqrt{6}}{3}
$