9x(x+23)=0

Solution for 9x(x+23)=0 equation:

9x(x+23)=0

We multiply parentheses

9x^2+207x=0

a = 9; b = 207; c = 0;
Δ = b2-4ac
Δ = 2072-4·9·0
Δ = 42849
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{42849}=207$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(207)-207}{2*9}=\frac{-414}{18}
=-23
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(207)+207}{2*9}=\frac{0}{18}
=0
$