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Simplifying
(4p + -7)(4p + 7) = 0
Reorder the terms:
(-7 + 4p)(4p + 7) = 0
Reorder the terms:
(-7 + 4p)(7 + 4p) = 0
Multiply (-7 + 4p) * (7 + 4p)
(-7(7 + 4p) + 4p * (7 + 4p)) = 0
((7 * -7 + 4p * -7) + 4p * (7 + 4p)) = 0
((-49 + -28p) + 4p * (7 + 4p)) = 0
(-49 + -28p + (7 * 4p + 4p * 4p)) = 0
(-49 + -28p + (28p + 16p2)) = 0
Combine like terms: -28p + 28p = 0
(-49 + 0 + 16p2) = 0
(-49 + 16p2) = 0
Solving
-49 + 16p2 = 0
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 16p2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 16p2 = 0 + 49
16p2 = 0 + 49
Combine like terms: 0 + 49 = 49
16p2 = 49
Divide each side by '16'.
p2 = 3.0625
Simplifying
p2 = 3.0625
Take the square root of each side:
p = {-1.75, 1.75}
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