p^4-3p^2-28=0

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Solution for p^4-3p^2-28=0 equation: 


Simplifying
p4 + -3p2 + -28 = 0

Reorder the terms:
-28 + -3p2 + p4 = 0

Solving
-28 + -3p2 + p4 = 0

Solving for variable 'p'.

Factor a trinomial.
(-4 + -1p2)(7 + -1p2) = 0


Subproblem 1
Set the factor '(-4 + -1p2)' equal to zero and attempt to solve:

Simplifying
-4 + -1p2 = 0

Solving
-4 + -1p2 = 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 + -1p2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1p2 = 0 + 4
-1p2 = 0 + 4

Combine like terms: 0 + 4 = 4
-1p2 = 4

Divide each side by '-1'.
p2 = -4

Simplifying
p2 = -4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(7 + -1p2)' equal to zero and attempt to solve:

Simplifying
7 + -1p2 = 0

Solving
7 + -1p2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1p2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1p2 = 0 + -7
-1p2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1p2 = -7

Divide each side by '-1'.
p2 = 7

Simplifying
p2 = 7

Take the square root of each side:
p = {-2.645751311, 2.645751311}
Solution
p = {-2.645751311, 2.645751311}

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