3x(x+88)=0

Solution for 3x(x+88)=0 equation:

3x(x+88)=0

We multiply parentheses

3x^2+264x=0

a = 3; b = 264; c = 0;
Δ = b2-4ac
Δ = 2642-4·3·0
Δ = 69696
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{69696}=264$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(264)-264}{2*3}=\frac{-528}{6}
=-88
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(264)+264}{2*3}=\frac{0}{6}
=0
$