3(3x+3)(5x+6)=0

Solution for 3(3x+3)(5x+6)=0 equation:

3(3x+3)(5x+6)=0

We multiply parentheses ..

3(+15x^2+18x+15x+18)=0

We multiply parentheses

45x^2+54x+45x+54=0

We add all the numbers together, and all the variables

45x^2+99x+54=0

a = 45; b = 99; c = +54;
Δ = b2-4ac
Δ = 992-4·45·54
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(99)-9}{2*45}=\frac{-108}{90}
=-1+1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(99)+9}{2*45}=\frac{-90}{90}
=-1
$