2p(p-6p+1)=

Solution for 2p(p-6p+1)= equation:

Simplifying
2p(p + -6p + 1) = 0

Reorder the terms:
2p(1 + p + -6p) = 0

Combine like terms: p + -6p = -5p
2p(1 + -5p) = 0
(1 * 2p + -5p * 2p) = 0
(2p + -10p2) = 0

Solving
2p + -10p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2p'.
2p(1 + -5p) = 0

Ignore the factor 2.
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 + -5p)' equal to zero and attempt to solve:

Simplifying
1 + -5p = 0

Solving
1 + -5p = 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 + -5p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5p = 0 + -1
-5p = 0 + -1

Combine like terms: 0 + -1 = -1
-5p = -1

Divide each side by '-5'.
p = 0.2

Simplifying
p = 0.2
Solution
p = {0, 0.2}