p^2-3p+6=6

Solution for p^2-3p+6=6 equation:

Simplifying
p2 + -3p + 6 = 6

Reorder the terms:
6 + -3p + p2 = 6

Add '-6' to each side of the equation.
6 + -3p + -6 + p2 = 6 + -6

Reorder the terms:
6 + -6 + -3p + p2 = 6 + -6

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

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

Solving
-3p + p2 = 0

Solving for variable 'p'.

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

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 + p)' equal to zero and attempt to solve:

Simplifying
-3 + p = 0

Solving
-3 + p = 0

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

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

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

Combine like terms: 0 + 3 = 3
p = 3

Simplifying
p = 3
Solution
p = {0, 3}