(m+5)(m+5)=-2m-10

Solution for (m+5)(m+5)=-2m-10 equation:

(m+5)(m+5)=-2m-10

We move all terms to the left:

(m+5)(m+5)-(-2m-10)=0

We get rid of parentheses

(m+5)(m+5)+2m+10=0

We multiply parentheses ..

(+m^2+5m+5m+25)+2m+10=0

We get rid of parentheses

m^2+5m+5m+2m+25+10=0

We add all the numbers together, and all the variables

m^2+12m+35=0

a = 1; b = 12; c = +35;
Δ = b2-4ac
Δ = 122-4·1·35
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-2}{2*1}=\frac{-14}{2}
=-7
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+2}{2*1}=\frac{-10}{2}
=-5
$