-6w(6w-5)=0

Solution for -6w(6w-5)=0 equation:

-6w(6w-5)=0

We multiply parentheses

-36w^2+30w=0

a = -36; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·(-36)·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*-36}=\frac{-60}{-72}
=5/6
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*-36}=\frac{0}{-72}
=0
$