X(x+23)-10x+9x=0

Solution for X(x+23)-10x+9x=0 equation:

X(X+23)-10X+9X=0

We add all the numbers together, and all the variables

-1X+X(X+23)=0

We multiply parentheses

X^2-1X+23X=0

We add all the numbers together, and all the variables

X^2+22X=0

a = 1; b = 22; c = 0;
Δ = b2-4ac
Δ = 222-4·1·0
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-22}{2*1}=\frac{-44}{2}
=-22
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+22}{2*1}=\frac{0}{2}
=0
$