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Simplifying
(7p + 4)(7p + -4) = 0
Reorder the terms:
(4 + 7p)(7p + -4) = 0
Reorder the terms:
(4 + 7p)(-4 + 7p) = 0
Multiply (4 + 7p) * (-4 + 7p)
(4(-4 + 7p) + 7p * (-4 + 7p)) = 0
((-4 * 4 + 7p * 4) + 7p * (-4 + 7p)) = 0
((-16 + 28p) + 7p * (-4 + 7p)) = 0
(-16 + 28p + (-4 * 7p + 7p * 7p)) = 0
(-16 + 28p + (-28p + 49p2)) = 0
Combine like terms: 28p + -28p = 0
(-16 + 0 + 49p2) = 0
(-16 + 49p2) = 0
Solving
-16 + 49p2 = 0
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 49p2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 49p2 = 0 + 16
49p2 = 0 + 16
Combine like terms: 0 + 16 = 16
49p2 = 16
Divide each side by '49'.
p2 = 0.3265306122
Simplifying
p2 = 0.3265306122
Take the square root of each side:
p = {-0.571428571, 0.571428571}
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