(X+4)(x-5=-8

Solution for (X+4)(x-5=-8 equation:

(X+4)(X-5=-8

We move all terms to the left:

(X+4)(X-5-(-8)=0


We calculate terms in parentheses: +(X+4)(X-5-(-8), so:

X+4)(X-5-(-8

We add all the numbers together, and all the variables

X+4)(X

Back to the equation:

+(X+4)(X)


We multiply parentheses

X^2+4X=0

a = 1; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·1·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*1}=\frac{-8}{2}
=-4
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*1}=\frac{0}{2}
=0
$