(3p-3)(p-1)=0

Solution for (3p-3)(p-1)=0 equation:

Simplifying
(3p + -3)(p + -1) = 0

Reorder the terms:
(-3 + 3p)(p + -1) = 0

Reorder the terms:
(-3 + 3p)(-1 + p) = 0

Multiply (-3 + 3p) * (-1 + p)
(-3(-1 + p) + 3p * (-1 + p)) = 0
((-1 * -3 + p * -3) + 3p * (-1 + p)) = 0
((3 + -3p) + 3p * (-1 + p)) = 0
(3 + -3p + (-1 * 3p + p * 3p)) = 0
(3 + -3p + (-3p + 3p2)) = 0

Combine like terms: -3p + -3p = -6p
(3 + -6p + 3p2) = 0

Solving
3 + -6p + 3p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + -2p + p2) = 0

Factor a trinomial.
3((1 + -1p)(1 + -1p)) = 0

Ignore the factor 3.
Subproblem 1
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
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 = {1, 1}