2p^2-2p+1-1=0

Solution for 2p^2-2p+1-1=0 equation:

Simplifying
2p2 + -2p + 1 + -1 = 0

Reorder the terms:
1 + -1 + -2p + 2p2 = 0

Combine like terms: 1 + -1 = 0
0 + -2p + 2p2 = 0
-2p + 2p2 = 0

Solving
-2p + 2p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2p'.
2p(-1 + p) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

Move all terms containing p to the left, all other terms to the right.

Simplifying
p = 0
Subproblem 2
Set the factor '(-1 + p)' equal to zero and attempt to solve:

Simplifying
-1 + p = 0

Solving
-1 + p = 0

Move all terms containing p to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + p = 0 + 1

Combine like terms: -1 + 1 = 0
0 + p = 0 + 1
p = 0 + 1

Combine like terms: 0 + 1 = 1
p = 1

Simplifying
p = 1
Solution
p = {0, 1}