3p^2+8p-9=2p

Solution for 3p^2+8p-9=2p equation:

Simplifying
3p2 + 8p + -9 = 2p

Reorder the terms:
-9 + 8p + 3p2 = 2p

Solving
-9 + 8p + 3p2 = 2p

Solving for variable 'p'.

Reorder the terms:
-9 + 8p + -2p + 3p2 = 2p + -2p

Combine like terms: 8p + -2p = 6p
-9 + 6p + 3p2 = 2p + -2p

Combine like terms: 2p + -2p = 0
-9 + 6p + 3p2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + 2p + p2) = 0

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

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

Simplifying
-3 + -1p = 0

Solving
-3 + -1p = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1p = 0 + 3
-1p = 0 + 3

Combine like terms: 0 + 3 = 3
-1p = 3

Divide each side by '-1'.
p = -3

Simplifying
p = -3
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 = {-3, 1}