P=m2/2-m

Solution for P=m2/2-m equation:

=P2/2-P

We move all terms to the left:

-(P2/2-P)=0


Domain of the equation: 2-P)!=0

We move all terms containing P to the left, all other terms to the right

-P)!=-2

P!=-2/1

P!=-2

P∈R


We add all the numbers together, and all the variables

-(-1P+P2/2)=0

We get rid of parentheses

1P-P2/2=0

We multiply all the terms by the denominator


1P*2-P2=0

We add all the numbers together, and all the variables

-1P^2+1P*2=0

Wy multiply elements

-1P^2+2P=0

a = -1; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-1)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*-1}=\frac{-4}{-2}
=+2
$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-1}=\frac{0}{-2}
=0
$