a^4-5a^2-14=

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Solution for a^4-5a^2-14= equation: 


Simplifying
a4 + -5a2 + -14 = 0

Reorder the terms:
-14 + -5a2 + a4 = 0

Solving
-14 + -5a2 + a4 = 0

Solving for variable 'a'.

Factor a trinomial.
(-2 + -1a2)(7 + -1a2) = 0


Subproblem 1
Set the factor '(-2 + -1a2)' equal to zero and attempt to solve:

Simplifying
-2 + -1a2 = 0

Solving
-2 + -1a2 = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1a2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1a2 = 0 + 2
-1a2 = 0 + 2

Combine like terms: 0 + 2 = 2
-1a2 = 2

Divide each side by '-1'.
a2 = -2

Simplifying
a2 = -2

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 + -1a2)' equal to zero and attempt to solve:

Simplifying
7 + -1a2 = 0

Solving
7 + -1a2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1a2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1a2 = 0 + -7
-1a2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1a2 = -7

Divide each side by '-1'.
a2 = 7

Simplifying
a2 = 7

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

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