2m^2=23m-63

Solution for 2m^2=23m-63 equation:

2m^2=23m-63

We move all terms to the left:

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

We get rid of parentheses

2m^2-23m+63=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
$