(X-8)(x+1)=x-24

Solution for (X-8)(x+1)=x-24 equation:

(X-8)(X+1)=X-24

We move all terms to the left:

(X-8)(X+1)-(X-24)=0

We get rid of parentheses

(X-8)(X+1)-X+24=0

We multiply parentheses ..

(+X^2+X-8X-8)-X+24=0

We add all the numbers together, and all the variables

(+X^2+X-8X-8)-1X+24=0

We get rid of parentheses

X^2+X-8X-1X-8+24=0

We add all the numbers together, and all the variables

X^2-8X+16=0

a = 1; b = -8; c = +16;
Δ = b2-4ac
Δ = -82-4·1·16
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$X=\frac{-b}{2a}=\frac{8}{2}=4$