(p-2)(p-8)=0

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Solution for (p-2)(p-8)=0 equation: 


Simplifying
(p + -2)(p + -8) = 0

Reorder the terms:
(-2 + p)(p + -8) = 0

Reorder the terms:
(-2 + p)(-8 + p) = 0

Multiply (-2 + p) * (-8 + p)
(-2(-8 + p) + p(-8 + p)) = 0
((-8 * -2 + p * -2) + p(-8 + p)) = 0
((16 + -2p) + p(-8 + p)) = 0
(16 + -2p + (-8 * p + p * p)) = 0
(16 + -2p + (-8p + p2)) = 0

Combine like terms: -2p + -8p = -10p
(16 + -10p + p2) = 0

Solving
16 + -10p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(2 + -1p)(8 + -1p) = 0


Subproblem 1
Set the factor '(2 + -1p)' equal to zero and attempt to solve:

Simplifying
2 + -1p = 0

Solving
2 + -1p = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1p = 0 + -2
-1p = 0 + -2

Combine like terms: 0 + -2 = -2
-1p = -2

Divide each side by '-1'.
p = 2

Simplifying
p = 2

Subproblem 2
Set the factor '(8 + -1p)' equal to zero and attempt to solve:

Simplifying
8 + -1p = 0

Solving
8 + -1p = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1p = 0 + -8
-1p = 0 + -8

Combine like terms: 0 + -8 = -8
-1p = -8

Divide each side by '-1'.
p = 8

Simplifying
p = 8
Solution
p = {2, 8}

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