-3p^2-2p+76=11

Solution for -3p^2-2p+76=11 equation:

Simplifying
-3p2 + -2p + 76 = 11

Reorder the terms:
76 + -2p + -3p2 = 11

Solving
76 + -2p + -3p2 = 11

Solving for variable 'p'.

Reorder the terms:
76 + -11 + -2p + -3p2 = 11 + -11

Combine like terms: 76 + -11 = 65
65 + -2p + -3p2 = 11 + -11

Combine like terms: 11 + -11 = 0
65 + -2p + -3p2 = 0

Factor a trinomial.
(13 + -3p)(5 + p) = 0

Subproblem 1
Set the factor '(13 + -3p)' equal to zero and attempt to solve:

Simplifying
13 + -3p = 0

Solving
13 + -3p = 0

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

Add '-13' to each side of the equation.
13 + -13 + -3p = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -3p = 0 + -13
-3p = 0 + -13

Combine like terms: 0 + -13 = -13
-3p = -13

Divide each side by '-3'.
p = 4.333333333

Simplifying
p = 4.333333333
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 = {4.333333333, -5}