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Simplifying
5p2 + 18 = 7p2
Reorder the terms:
18 + 5p2 = 7p2
Solving
18 + 5p2 = 7p2
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-7p2' to each side of the equation.
18 + 5p2 + -7p2 = 7p2 + -7p2
Combine like terms: 5p2 + -7p2 = -2p2
18 + -2p2 = 7p2 + -7p2
Combine like terms: 7p2 + -7p2 = 0
18 + -2p2 = 0
Add '-18' to each side of the equation.
18 + -18 + -2p2 = 0 + -18
Combine like terms: 18 + -18 = 0
0 + -2p2 = 0 + -18
-2p2 = 0 + -18
Combine like terms: 0 + -18 = -18
-2p2 = -18
Divide each side by '-2'.
p2 = 9
Simplifying
p2 = 9
Take the square root of each side:
p = {-3, 3}
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