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Simplifying
-9p2 + (-2p2 + 5) = 0
Reorder the terms:
-9p2 + (5 + -2p2) = 0
Remove parenthesis around (5 + -2p2)
-9p2 + 5 + -2p2 = 0
Reorder the terms:
5 + -9p2 + -2p2 = 0
Combine like terms: -9p2 + -2p2 = -11p2
5 + -11p2 = 0
Solving
5 + -11p2 = 0
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + -11p2 = 0 + -5
Combine like terms: 5 + -5 = 0
0 + -11p2 = 0 + -5
-11p2 = 0 + -5
Combine like terms: 0 + -5 = -5
-11p2 = -5
Divide each side by '-11'.
p2 = 0.4545454545
Simplifying
p2 = 0.4545454545
Take the square root of each side:
p = {-0.674199862, 0.674199862}
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