0.8m(m-5)=10

Solution for 0.8m(m-5)=10 equation:

0.8m(m-5)=10

We move all terms to the left:

0.8m(m-5)-(10)=0

We multiply parentheses

0m^2+0m-10=0

We add all the numbers together, and all the variables

m^2+m-10=0

a = 1; b = 1; c = -10;
Δ = b2-4ac
Δ = 12-4·1·(-10)
Δ = 41
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{-(1)-\sqrt{41}}{2*1}=\frac{-1-\sqrt{41}}{2}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{41}}{2*1}=\frac{-1+\sqrt{41}}{2}
$