p^2-8p+5=5

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Solution for p^2-8p+5=5 equation: 


Simplifying
p2 + -8p + 5 = 5

Reorder the terms:
5 + -8p + p2 = 5

Add '-5' to each side of the equation.
5 + -8p + -5 + p2 = 5 + -5

Reorder the terms:
5 + -5 + -8p + p2 = 5 + -5

Combine like terms: 5 + -5 = 0
0 + -8p + p2 = 5 + -5
-8p + p2 = 5 + -5

Combine like terms: 5 + -5 = 0
-8p + p2 = 0

Solving
-8p + p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-8 + 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 '(-8 + p)' equal to zero and attempt to solve:

Simplifying
-8 + p = 0

Solving
-8 + p = 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 + p = 0 + 8

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

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

Simplifying
p = 8
Solution
p = {0, 8}

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