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Simplifying
8p * 2p + -7 = 32
Reorder the terms for easier multiplication:
8 * 2p * p + -7 = 32
Multiply 8 * 2
16p * p + -7 = 32
Multiply p * p
16p2 + -7 = 32
Reorder the terms:
-7 + 16p2 = 32
Solving
-7 + 16p2 = 32
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 16p2 = 32 + 7
Combine like terms: -7 + 7 = 0
0 + 16p2 = 32 + 7
16p2 = 32 + 7
Combine like terms: 32 + 7 = 39
16p2 = 39
Divide each side by '16'.
p2 = 2.4375
Simplifying
p2 = 2.4375
Take the square root of each side:
p = {-1.5612495, 1.5612495}
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