3p^2+p-52=0

Solution for 3p^2+p-52=0 equation:

Simplifying
3p2 + p + -52 = 0

Reorder the terms:
-52 + p + 3p2 = 0

Solving
-52 + p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-13 + -3p)(4 + -1p) = 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 '(4 + -1p)' equal to zero and attempt to solve:

Simplifying
4 + -1p = 0

Solving
4 + -1p = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1p = 0 + -4
-1p = 0 + -4

Combine like terms: 0 + -4 = -4
-1p = -4

Divide each side by '-1'.
p = 4

Simplifying
p = 4
Solution
p = {-4.333333333, 4}