6z^2=150z

Solution for 6z^2=150z equation:

6z^2=150z

We move all terms to the left:

6z^2-(150z)=0

a = 6; b = -150; c = 0;
Δ = b2-4ac
Δ = -1502-4·6·0
Δ = 22500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{22500}=150$
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-150)-150}{2*6}=\frac{0}{12}
=0
$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-150)+150}{2*6}=\frac{300}{12}
=25
$