8p^2+2=8p

Solution for 8p^2+2=8p equation:

Simplifying
8p2 + 2 = 8p

Reorder the terms:
2 + 8p2 = 8p

Solving
2 + 8p2 = 8p

Solving for variable 'p'.

Reorder the terms:
2 + -8p + 8p2 = 8p + -8p

Combine like terms: 8p + -8p = 0
2 + -8p + 8p2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -4p + 4p2) = 0

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

Ignore the factor 2.
Subproblem 1
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
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 = {0.5, 0.5}