2m2+63=23m

Solution for 2m2+63=23m equation:

2m^2+63=23m

We move all terms to the left:

2m^2+63-(23m)=0

a = 2; b = -23; c = +63;
Δ = b2-4ac
Δ = -232-4·2·63
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-23)-5}{2*2}=\frac{18}{4}
=4+1/2
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-23)+5}{2*2}=\frac{28}{4}
=7
$