((p-6)(p-6))-2=34

Solution for ((p-6)(p-6))-2=34 equation:

Simplifying
((p + -6)(p + -6)) + -2 = 34

Reorder the terms:
((-6 + p)(p + -6)) + -2 = 34

Reorder the terms:
((-6 + p)(-6 + p)) + -2 = 34

Multiply (-6 + p) * (-6 + p)
((-6(-6 + p) + p(-6 + p))) + -2 = 34
(((-6 * -6 + p * -6) + p(-6 + p))) + -2 = 34
(((36 + -6p) + p(-6 + p))) + -2 = 34
((36 + -6p + (-6 * p + p * p))) + -2 = 34
((36 + -6p + (-6p + p2))) + -2 = 34

Combine like terms: -6p + -6p = -12p
((36 + -12p + p2)) + -2 = 34
(36 + -12p + p2) + -2 = 34

Remove parenthesis around (36 + -12p + p2)
36 + -12p + p2 + -2 = 34

Reorder the terms:
36 + -2 + -12p + p2 = 34

Combine like terms: 36 + -2 = 34
34 + -12p + p2 = 34

Add '-34' to each side of the equation.
34 + -12p + -34 + p2 = 34 + -34

Reorder the terms:
34 + -34 + -12p + p2 = 34 + -34

Combine like terms: 34 + -34 = 0
0 + -12p + p2 = 34 + -34
-12p + p2 = 34 + -34

Combine like terms: 34 + -34 = 0
-12p + p2 = 0

Solving
-12p + p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-12 + 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 '(-12 + p)' equal to zero and attempt to solve:

Simplifying
-12 + p = 0

Solving
-12 + p = 0

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

Add '12' to each side of the equation.
-12 + 12 + p = 0 + 12

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

Combine like terms: 0 + 12 = 12
p = 12

Simplifying
p = 12
Solution
p = {0, 12}