3p^2-33=-2p

Solution for 3p^2-33=-2p equation:

Simplifying
3p2 + -33 = -2p

Reorder the terms:
-33 + 3p2 = -2p

Solving
-33 + 3p2 = -2p

Solving for variable 'p'.

Reorder the terms:
-33 + 2p + 3p2 = -2p + 2p

Combine like terms: -2p + 2p = 0
-33 + 2p + 3p2 = 0

Factor a trinomial.
(-11 + -3p)(3 + -1p) = 0

Subproblem 1
Set the factor '(-11 + -3p)' equal to zero and attempt to solve:

Simplifying
-11 + -3p = 0

Solving
-11 + -3p = 0

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

Add '11' to each side of the equation.
-11 + 11 + -3p = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3p = 0 + 11
-3p = 0 + 11

Combine like terms: 0 + 11 = 11
-3p = 11

Divide each side by '-3'.
p = -3.666666667

Simplifying
p = -3.666666667
Subproblem 2
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
Solution
p = {-3.666666667, 3}