2m(m-2)=4-2m

Solution for 2m(m-2)=4-2m equation:

2m(m-2)=4-2m

We move all terms to the left:

2m(m-2)-(4-2m)=0

We add all the numbers together, and all the variables

2m(m-2)-(-2m+4)=0

We multiply parentheses

2m^2-4m-(-2m+4)=0

We get rid of parentheses

2m^2-4m+2m-4=0

We add all the numbers together, and all the variables

2m^2-2m-4=0

a = 2; b = -2; c = -4;
Δ = b2-4ac
Δ = -22-4·2·(-4)
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-6}{2*2}=\frac{-4}{4}
=-1
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+6}{2*2}=\frac{8}{4}
=2
$