25.5=m^2+m

Solution for 25.5=m^2+m equation:

25.5=m^2+m

We move all terms to the left:

25.5-(m^2+m)=0

We get rid of parentheses

-m^2-m+25.5=0

We add all the numbers together, and all the variables

-1m^2-1m+25.5=0

a = -1; b = -1; c = +25.5;
Δ = b2-4ac
Δ = -12-4·(-1)·25.5
Δ = 103
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{103}}{2*-1}=\frac{1-\sqrt{103}}{-2}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{103}}{2*-1}=\frac{1+\sqrt{103}}{-2}
$