-8+64p^2=16p

Solution for -8+64p^2=16p equation:

Simplifying
-8 + 64p2 = 16p

Solving
-8 + 64p2 = 16p

Solving for variable 'p'.

Reorder the terms:
-8 + -16p + 64p2 = 16p + -16p

Combine like terms: 16p + -16p = 0
-8 + -16p + 64p2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-1 + -2p + 8p2) = 0

Factor a trinomial.
8((-1 + -4p)(1 + -2p)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-1 + -4p)' equal to zero and attempt to solve:

Simplifying
-1 + -4p = 0

Solving
-1 + -4p = 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 + -4p = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4p = 0 + 1
-4p = 0 + 1

Combine like terms: 0 + 1 = 1
-4p = 1

Divide each side by '-4'.
p = -0.25

Simplifying
p = -0.25
Subproblem 2
Set the factor '(1 + -2p)' equal to zero and attempt to solve:

Simplifying
1 + -2p = 0

Solving
1 + -2p = 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 + -2p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2p = 0 + -1
-2p = 0 + -1

Combine like terms: 0 + -1 = -1
-2p = -1

Divide each side by '-2'.
p = 0.5

Simplifying
p = 0.5
Solution
p = {-0.25, 0.5}