p^2-9p+12=12

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Solution for p^2-9p+12=12 equation: 


Simplifying
p2 + -9p + 12 = 12

Reorder the terms:
12 + -9p + p2 = 12

Add '-12' to each side of the equation.
12 + -9p + -12 + p2 = 12 + -12

Reorder the terms:
12 + -12 + -9p + p2 = 12 + -12

Combine like terms: 12 + -12 = 0
0 + -9p + p2 = 12 + -12
-9p + p2 = 12 + -12

Combine like terms: 12 + -12 = 0
-9p + p2 = 0

Solving
-9p + p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-9 + 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 '(-9 + p)' equal to zero and attempt to solve:

Simplifying
-9 + p = 0

Solving
-9 + p = 0

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

Add '9' to each side of the equation.
-9 + 9 + p = 0 + 9

Combine like terms: -9 + 9 = 0
0 + p = 0 + 9
p = 0 + 9

Combine like terms: 0 + 9 = 9
p = 9

Simplifying
p = 9
Solution
p = {0, 9}

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