m=-5,m2+8m+2

Solution for m=-5,m2+8m+2 equation:

m=-5.m^2+8m+2

We move all terms to the left:

m-(-5.m^2+8m+2)=0

We get rid of parentheses

5.m^2-8m+m-2=0

We add all the numbers together, and all the variables

5.m^2-7m-2=0

a = 5.; b = -7; c = -2;
Δ = b2-4ac
Δ = -72-4·5.·(-2)
Δ = 89
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-\sqrt{89}}{2*5.}=\frac{7-\sqrt{89}}{10}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{89}}{2*5.}=\frac{7+\sqrt{89}}{10}
$