p^4-13p^2+12=

Solution for p^4-13p^2+12= equation:

Simplifying
p4 + -13p2 + 12 = 0

Reorder the terms:
12 + -13p2 + p4 = 0

Solving
12 + -13p2 + p4 = 0

Solving for variable 'p'.

Factor a trinomial.
(1 + -1p2)(12 + -1p2) = 0

Factor a difference between two squares.
((1 + p)(1 + -1p))(12 + -1p2) = 0

Subproblem 1
Set the factor '(12 + -1p2)' equal to zero and attempt to solve:

Simplifying
12 + -1p2 = 0

Solving
12 + -1p2 = 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 + -1p2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1p2 = 0 + -12
-1p2 = 0 + -12

Combine like terms: 0 + -12 = -12
-1p2 = -12

Divide each side by '-1'.
p2 = 12

Simplifying
p2 = 12

Take the square root of each side:
p = {-3.464101615, 3.464101615}
Subproblem 2
Set the factor '(1 + p)' equal to zero and attempt to solve:

Simplifying
1 + p = 0

Solving
1 + p = 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 + p = 0 + -1

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

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

Simplifying
p = -1
Subproblem 3
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
Solution
p = {-3.464101615, 3.464101615, -1, 1}