a^4+11a^2-900=

Solution for a^4+11a^2-900= equation:

Simplifying
a4 + 11a2 + -900 = 0

Reorder the terms:
-900 + 11a2 + a4 = 0

Solving
-900 + 11a2 + a4 = 0

Solving for variable 'a'.

Factor a trinomial.
(-36 + -1a2)(25 + -1a2) = 0

Factor a difference between two squares.
(-36 + -1a2)((5 + a)(5 + -1a)) = 0

Subproblem 1
Set the factor '(-36 + -1a2)' equal to zero and attempt to solve:

Simplifying
-36 + -1a2 = 0

Solving
-36 + -1a2 = 0

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

Add '36' to each side of the equation.
-36 + 36 + -1a2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -1a2 = 0 + 36
-1a2 = 0 + 36

Combine like terms: 0 + 36 = 36
-1a2 = 36

Divide each side by '-1'.
a2 = -36

Simplifying
a2 = -36

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 '(5 + a)' equal to zero and attempt to solve:

Simplifying
5 + a = 0

Solving
5 + a = 0

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

Add '-5' to each side of the equation.
5 + -5 + a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + a = 0 + -5
a = 0 + -5

Combine like terms: 0 + -5 = -5
a = -5

Simplifying
a = -5
Subproblem 3
Set the factor '(5 + -1a)' equal to zero and attempt to solve:

Simplifying
5 + -1a = 0

Solving
5 + -1a = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1a = 0 + -5
-1a = 0 + -5

Combine like terms: 0 + -5 = -5
-1a = -5

Divide each side by '-1'.
a = 5

Simplifying
a = 5
Solution
a = {-5, 5}