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Simplifying
(p + 8)(8 + -1p) = 0
Reorder the terms:
(8 + p)(8 + -1p) = 0
Multiply (8 + p) * (8 + -1p)
(8(8 + -1p) + p(8 + -1p)) = 0
((8 * 8 + -1p * 8) + p(8 + -1p)) = 0
((64 + -8p) + p(8 + -1p)) = 0
(64 + -8p + (8 * p + -1p * p)) = 0
(64 + -8p + (8p + -1p2)) = 0
Combine like terms: -8p + 8p = 0
(64 + 0 + -1p2) = 0
(64 + -1p2) = 0
Solving
64 + -1p2 = 0
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-64' to each side of the equation.
64 + -64 + -1p2 = 0 + -64
Combine like terms: 64 + -64 = 0
0 + -1p2 = 0 + -64
-1p2 = 0 + -64
Combine like terms: 0 + -64 = -64
-1p2 = -64
Divide each side by '-1'.
p2 = 64
Simplifying
p2 = 64
Take the square root of each side:
p = {-8, 8}
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