p^2(7p-13)=2p

Solution for p^2(7p-13)=2p equation:

Simplifying
p2(7p + -13) = 2p

Reorder the terms:
p2(-13 + 7p) = 2p
(-13 * p2 + 7p * p2) = 2p
(-13p2 + 7p3) = 2p

Solving
-13p2 + 7p3 = 2p

Solving for variable 'p'.

Reorder the terms:
-2p + -13p2 + 7p3 = 2p + -2p

Combine like terms: 2p + -2p = 0
-2p + -13p2 + 7p3 = 0

Factor out the Greatest Common Factor (GCF), 'p'.
p(-2 + -13p + 7p2) = 0

Factor a trinomial.
p((-1 + -7p)(2 + -1p)) = 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 + -7p)' equal to zero and attempt to solve:

Simplifying
-1 + -7p = 0

Solving
-1 + -7p = 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 + -7p = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -7p = 0 + 1
-7p = 0 + 1

Combine like terms: 0 + 1 = 1
-7p = 1

Divide each side by '-7'.
p = -0.1428571429

Simplifying
p = -0.1428571429
Subproblem 3
Set the factor '(2 + -1p)' equal to zero and attempt to solve:

Simplifying
2 + -1p = 0

Solving
2 + -1p = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1p = 0 + -2

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

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

Divide each side by '-1'.
p = 2

Simplifying
p = 2
Solution
p = {0, -0.1428571429, 2}