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Simplifying
(-5 + 8p)(5 + 8p) = 0
Multiply (-5 + 8p) * (5 + 8p)
(-5(5 + 8p) + 8p * (5 + 8p)) = 0
((5 * -5 + 8p * -5) + 8p * (5 + 8p)) = 0
((-25 + -40p) + 8p * (5 + 8p)) = 0
(-25 + -40p + (5 * 8p + 8p * 8p)) = 0
(-25 + -40p + (40p + 64p2)) = 0
Combine like terms: -40p + 40p = 0
(-25 + 0 + 64p2) = 0
(-25 + 64p2) = 0
Solving
-25 + 64p2 = 0
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + 64p2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 64p2 = 0 + 25
64p2 = 0 + 25
Combine like terms: 0 + 25 = 25
64p2 = 25
Divide each side by '64'.
p2 = 0.390625
Simplifying
p2 = 0.390625
Take the square root of each side:
p = {-0.625, 0.625}
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