13p^2+p-12=0

Solution for 13p^2+p-12=0 equation:

Simplifying
13p2 + p + -12 = 0

Reorder the terms:
-12 + p + 13p2 = 0

Solving
-12 + p + 13p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-1 + -1p)(12 + -13p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(12 + -13p)' equal to zero and attempt to solve:

Simplifying
12 + -13p = 0

Solving
12 + -13p = 0

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

Add '-12' to each side of the equation.
12 + -12 + -13p = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -13p = 0 + -12
-13p = 0 + -12

Combine like terms: 0 + -12 = -12
-13p = -12

Divide each side by '-13'.
p = 0.9230769231

Simplifying
p = 0.9230769231
Solution
p = {-1, 0.9230769231}