18x+3x2+18x=0

Solution for 18x+3x2+18x=0 equation:

18x+3x^2+18x=0

We add all the numbers together, and all the variables

3x^2+36x=0

a = 3; b = 36; c = 0;
Δ = b2-4ac
Δ = 362-4·3·0
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*3}=\frac{-72}{6}
=-12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+36}{2*3}=\frac{0}{6}
=0
$