2p^2-2p(3p-2)=

Solution for 2p^2-2p(3p-2)= equation:

Simplifying
2p2 + -2p(3p + -2) = 0

Reorder the terms:
2p2 + -2p(-2 + 3p) = 0
2p2 + (-2 * -2p + 3p * -2p) = 0
2p2 + (4p + -6p2) = 0

Reorder the terms:
4p + 2p2 + -6p2 = 0

Combine like terms: 2p2 + -6p2 = -4p2
4p + -4p2 = 0

Solving
4p + -4p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4p'.
4p(1 + -1p) = 0

Ignore the factor 4.
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 + -1p)' equal to zero and attempt to solve:

Simplifying
1 + -1p = 0

Solving
1 + -1p = 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 + -1p = 0 + -1

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

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

Divide each side by '-1'.
p = 1

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