6x2-216x=0

Solution for 6x2-216x=0 equation:

6x^2-216x=0

a = 6; b = -216; c = 0;
Δ = b2-4ac
Δ = -2162-4·6·0
Δ = 46656
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{46656}=216$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-216)-216}{2*6}=\frac{0}{12}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-216)+216}{2*6}=\frac{432}{12}
=36
$