(X+9)(x+4)=-4

Solution for (X+9)(x+4)=-4 equation:

(X+9)(X+4)=-4

We move all terms to the left:

(X+9)(X+4)-(-4)=0

We add all the numbers together, and all the variables

(X+9)(X+4)+4=0

We multiply parentheses ..

(+X^2+4X+9X+36)+4=0

We get rid of parentheses

X^2+4X+9X+36+4=0

We add all the numbers together, and all the variables

X^2+13X+40=0

a = 1; b = 13; c = +40;
Δ = b2-4ac
Δ = 132-4·1·40
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-3}{2*1}=\frac{-16}{2}
=-8
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+3}{2*1}=\frac{-10}{2}
=-5
$