(x+16)(x+13)=0

Solution for (x+16)(x+13)=0 equation:

(x+16)(x+13)=0

We multiply parentheses ..

(+x^2+13x+16x+208)=0

We get rid of parentheses

x^2+13x+16x+208=0

We add all the numbers together, and all the variables

x^2+29x+208=0

a = 1; b = 29; c = +208;
Δ = b2-4ac
Δ = 292-4·1·208
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{-(29)-3}{2*1}=\frac{-32}{2}
=-16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29)+3}{2*1}=\frac{-26}{2}
=-13
$