1w(2w-30)=2700

Solution for 1w(2w-30)=2700 equation:

1w(2w-30)=2700

We move all terms to the left:

1w(2w-30)-(2700)=0

We multiply parentheses

2w^2-30w-2700=0

a = 2; b = -30; c = -2700;
Δ = b2-4ac
Δ = -302-4·2·(-2700)
Δ = 22500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{22500}=150$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-150}{2*2}=\frac{-120}{4}
=-30
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+150}{2*2}=\frac{180}{4}
=45
$