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Simplifying
5p2 + 1 = 81
Reorder the terms:
1 + 5p2 = 81
Solving
1 + 5p2 = 81
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + 5p2 = 81 + -1
Combine like terms: 1 + -1 = 0
0 + 5p2 = 81 + -1
5p2 = 81 + -1
Combine like terms: 81 + -1 = 80
5p2 = 80
Divide each side by '5'.
p2 = 16
Simplifying
p2 = 16
Take the square root of each side:
p = {-4, 4}
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