8-p^2=p^2-2

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


Simplifying
8 + -1p2 = p2 + -2

Reorder the terms:
8 + -1p2 = -2 + p2

Solving
8 + -1p2 = -2 + p2

Solving for variable 'p'.

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

Add '-1p2' to each side of the equation.
8 + -1p2 + -1p2 = -2 + p2 + -1p2

Combine like terms: -1p2 + -1p2 = -2p2
8 + -2p2 = -2 + p2 + -1p2

Combine like terms: p2 + -1p2 = 0
8 + -2p2 = -2 + 0
8 + -2p2 = -2

Add '-8' to each side of the equation.
8 + -8 + -2p2 = -2 + -8

Combine like terms: 8 + -8 = 0
0 + -2p2 = -2 + -8
-2p2 = -2 + -8

Combine like terms: -2 + -8 = -10
-2p2 = -10

Divide each side by '-2'.
p2 = 5

Simplifying
p2 = 5

Take the square root of each side:
p = {-2.236067978, 2.236067978}

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