3p^2+9p+30=2p^2-2p

Solution for 3p^2+9p+30=2p^2-2p equation:

Simplifying
3p2 + 9p + 30 = 2p2 + -2p

Reorder the terms:
30 + 9p + 3p2 = 2p2 + -2p

Reorder the terms:
30 + 9p + 3p2 = -2p + 2p2

Solving
30 + 9p + 3p2 = -2p + 2p2

Solving for variable 'p'.

Reorder the terms:
30 + 9p + 2p + 3p2 + -2p2 = -2p + 2p2 + 2p + -2p2

Combine like terms: 9p + 2p = 11p
30 + 11p + 3p2 + -2p2 = -2p + 2p2 + 2p + -2p2

Combine like terms: 3p2 + -2p2 = 1p2
30 + 11p + 1p2 = -2p + 2p2 + 2p + -2p2

Reorder the terms:
30 + 11p + 1p2 = -2p + 2p + 2p2 + -2p2

Combine like terms: -2p + 2p = 0
30 + 11p + 1p2 = 0 + 2p2 + -2p2
30 + 11p + 1p2 = 2p2 + -2p2

Combine like terms: 2p2 + -2p2 = 0
30 + 11p + 1p2 = 0

Factor a trinomial.
(6 + p)(5 + p) = 0

Subproblem 1
Set the factor '(6 + p)' equal to zero and attempt to solve:

Simplifying
6 + p = 0

Solving
6 + p = 0

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

Add '-6' to each side of the equation.
6 + -6 + p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + p = 0 + -6
p = 0 + -6

Combine like terms: 0 + -6 = -6
p = -6

Simplifying
p = -6
Subproblem 2
Set the factor '(5 + p)' equal to zero and attempt to solve:

Simplifying
5 + p = 0

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

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

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

Simplifying
p = -5
Solution
p = {-6, -5}