p(3p+2)=5

Solution for p(3p+2)=5 equation:

Simplifying
p(3p + 2) = 5

Reorder the terms:
p(2 + 3p) = 5
(2 * p + 3p * p) = 5
(2p + 3p2) = 5

Solving
2p + 3p2 = 5

Solving for variable 'p'.

Reorder the terms:
-5 + 2p + 3p2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 2p + 3p2 = 0

Factor a trinomial.
(-5 + -3p)(1 + -1p) = 0

Subproblem 1
Set the factor '(-5 + -3p)' equal to zero and attempt to solve:

Simplifying
-5 + -3p = 0

Solving
-5 + -3p = 0

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

Add '5' to each side of the equation.
-5 + 5 + -3p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3p = 0 + 5
-3p = 0 + 5

Combine like terms: 0 + 5 = 5
-3p = 5

Divide each side by '-3'.
p = -1.666666667

Simplifying
p = -1.666666667
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:

Simplifying
1 + -1p = 0

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

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

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

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

Simplifying
p = 1
Solution
p = {-1.666666667, 1}