3x(x+6)3=0

Solution for 3x(x+6)3=0 equation:

3x(x+6)3=0

We multiply parentheses

9x^2+54x=0

a = 9; b = 54; c = 0;
Δ = b2-4ac
Δ = 542-4·9·0
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(54)-54}{2*9}=\frac{-108}{18}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(54)+54}{2*9}=\frac{0}{18}
=0
$