6a^4+5a^2-25=

Solution for 6a^4+5a^2-25= equation:

Simplifying
6a4 + 5a2 + -25 = 0

Reorder the terms:
-25 + 5a2 + 6a4 = 0

Solving
-25 + 5a2 + 6a4 = 0

Solving for variable 'a'.

Factor a trinomial.
(-5 + -2a2)(5 + -3a2) = 0

Subproblem 1
Set the factor '(-5 + -2a2)' equal to zero and attempt to solve:

Simplifying
-5 + -2a2 = 0

Solving
-5 + -2a2 = 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 + -2a2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2a2 = 0 + 5
-2a2 = 0 + 5

Combine like terms: 0 + 5 = 5
-2a2 = 5

Divide each side by '-2'.
a2 = -2.5

Simplifying
a2 = -2.5

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 + -3a2)' equal to zero and attempt to solve:

Simplifying
5 + -3a2 = 0

Solving
5 + -3a2 = 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 + -3a2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3a2 = 0 + -5
-3a2 = 0 + -5

Combine like terms: 0 + -5 = -5
-3a2 = -5

Divide each side by '-3'.
a2 = 1.666666667

Simplifying
a2 = 1.666666667

Take the square root of each side:
a = {-1.290994449, 1.290994449}
Solution
a = {-1.290994449, 1.290994449}