-30w=9w2-125

Solution for -30w=9w2-125 equation:

-30w=9w^2-125

We move all terms to the left:

-30w-(9w^2-125)=0

We get rid of parentheses

-9w^2-30w+125=0

a = -9; b = -30; c = +125;
Δ = b2-4ac
Δ = -302-4·(-9)·125
Δ = 5400
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:

$\sqrt{\Delta}=\sqrt{5400}=\sqrt{900*6}=\sqrt{900}*\sqrt{6}=30\sqrt{6}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-30\sqrt{6}}{2*-9}=\frac{30-30\sqrt{6}}{-18}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+30\sqrt{6}}{2*-9}=\frac{30+30\sqrt{6}}{-18}
$