p*(8p+1)*(8p-1)=

Solution for p*(8p+1)*(8p-1)= equation:

Simplifying
p(8p + 1)(8p + -1) = 0

Reorder the terms:
p(1 + 8p)(8p + -1) = 0

Reorder the terms:
p(1 + 8p)(-1 + 8p) = 0

Multiply (1 + 8p) * (-1 + 8p)
p(1(-1 + 8p) + 8p * (-1 + 8p)) = 0
p((-1 * 1 + 8p * 1) + 8p * (-1 + 8p)) = 0
p((-1 + 8p) + 8p * (-1 + 8p)) = 0
p(-1 + 8p + (-1 * 8p + 8p * 8p)) = 0
p(-1 + 8p + (-8p + 64p2)) = 0

Combine like terms: 8p + -8p = 0
p(-1 + 0 + 64p2) = 0
p(-1 + 64p2) = 0
(-1 * p + 64p2 * p) = 0
(-1p + 64p3) = 0

Solving
-1p + 64p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-1 + 64p2) = 0

Factor a difference between two squares.
p((1 + 8p)(-1 + 8p)) = 0

Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

Move all terms containing p to the left, all other terms to the right.

Simplifying
p = 0
Subproblem 2
Set the factor '(1 + 8p)' equal to zero and attempt to solve:

Simplifying
1 + 8p = 0

Solving
1 + 8p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 8p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8p = 0 + -1
8p = 0 + -1

Combine like terms: 0 + -1 = -1
8p = -1

Divide each side by '8'.
p = -0.125

Simplifying
p = -0.125
Subproblem 3
Set the factor '(-1 + 8p)' equal to zero and attempt to solve:

Simplifying
-1 + 8p = 0

Solving
-1 + 8p = 0

Move all terms containing p to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + 8p = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8p = 0 + 1
8p = 0 + 1

Combine like terms: 0 + 1 = 1
8p = 1

Divide each side by '8'.
p = 0.125

Simplifying
p = 0.125
Solution
p = {0, -0.125, 0.125}