p^2+8=-8+10p

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Solution for p^2+8=-8+10p equation: 


Simplifying
p2 + 8 = -8 + 10p

Reorder the terms:
8 + p2 = -8 + 10p

Solving
8 + p2 = -8 + 10p

Solving for variable 'p'.

Reorder the terms:
8 + 8 + -10p + p2 = -8 + 10p + 8 + -10p

Combine like terms: 8 + 8 = 16
16 + -10p + p2 = -8 + 10p + 8 + -10p

Reorder the terms:
16 + -10p + p2 = -8 + 8 + 10p + -10p

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

Combine like terms: 10p + -10p = 0
16 + -10p + p2 = 0

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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