(m+8)(m+17)=0

Solution for (m+8)(m+17)=0 equation:

(m+8)(m+17)=0

We multiply parentheses ..

(+m^2+17m+8m+136)=0

We get rid of parentheses

m^2+17m+8m+136=0

We add all the numbers together, and all the variables

m^2+25m+136=0

a = 1; b = 25; c = +136;
Δ = b2-4ac
Δ = 252-4·1·136
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-9}{2*1}=\frac{-34}{2}
=-17
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+9}{2*1}=\frac{-16}{2}
=-8
$