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

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

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

Reorder the terms:
3p(3 + -2p + p2) = 0
(3 * 3p + -2p * 3p + p2 * 3p) = 0
(9p + -6p2 + 3p3) = 0

Solving
9p + -6p2 + 3p3 = 0

Solving for variable 'p'.

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

Ignore the factor 3.
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 '(3 + -2p + p2)' equal to zero and attempt to solve:

Simplifying
3 + -2p + p2 = 0

Solving
3 + -2p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2p + -3 + p2 = 0 + -3

Reorder the terms:
3 + -3 + -2p + p2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2p + p2 = 0 + -3
-2p + p2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2p + p2 = -3

The p term is -2p.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2p + 1 + p2 = -3 + 1

Reorder the terms:
1 + -2p + p2 = -3 + 1

Combine like terms: -3 + 1 = -2
1 + -2p + p2 = -2

Factor a perfect square on the left side:
(p + -1)(p + -1) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
p = {0}