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Simplifying
4p2 + 25 + -56 = 0
Reorder the terms:
25 + -56 + 4p2 = 0
Combine like terms: 25 + -56 = -31
-31 + 4p2 = 0
Solving
-31 + 4p2 = 0
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '31' to each side of the equation.
-31 + 31 + 4p2 = 0 + 31
Combine like terms: -31 + 31 = 0
0 + 4p2 = 0 + 31
4p2 = 0 + 31
Combine like terms: 0 + 31 = 31
4p2 = 31
Divide each side by '4'.
p2 = 7.75
Simplifying
p2 = 7.75
Take the square root of each side:
p = {-2.783882181, 2.783882181}
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