35=w*3w

Solution for 35=w*3w equation:

35=w*3w

We move all terms to the left:

35-(w*3w)=0

We add all the numbers together, and all the variables

-(+w*3w)+35=0

We get rid of parentheses

-w*3w+35=0

Wy multiply elements

-3w^2+35=0

a = -3; b = 0; c = +35;
Δ = b2-4ac
Δ = 02-4·(-3)·35
Δ = 420
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:

$\sqrt{\Delta}=\sqrt{420}=\sqrt{4*105}=\sqrt{4}*\sqrt{105}=2\sqrt{105}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{105}}{2*-3}=\frac{0-2\sqrt{105}}{-6}
=-\frac{2\sqrt{105}}{-6}
=-\frac{\sqrt{105}}{-3}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{105}}{2*-3}=\frac{0+2\sqrt{105}}{-6}
=\frac{2\sqrt{105}}{-6}
=\frac{\sqrt{105}}{-3}
$