2x(12x+18)=0

Solution for 2x(12x+18)=0 equation:

2x(12x+18)=0

We multiply parentheses

24x^2+36x=0

a = 24; b = 36; c = 0;
Δ = b2-4ac
Δ = 362-4·24·0
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-36}{2*24}=\frac{-72}{48}
=-1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+36}{2*24}=\frac{0}{48}
=0
$