A^4+5a^2=6

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

Simplifying
A4 + 5a2 = 6

Solving
A4 + 5a2 = 6

Solving for variable 'A'.

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

Add '-5a2' to each side of the equation.
A4 + 5a2 + -5a2 = 6 + -5a2

Combine like terms: 5a2 + -5a2 = 0
A4 + 0 = 6 + -5a2
A4 = 6 + -5a2

Simplifying
A4 = 6 + -5a2

Reorder the terms:
-6 + A4 + 5a2 = 6 + -5a2 + -6 + 5a2

Reorder the terms:
-6 + A4 + 5a2 = 6 + -6 + -5a2 + 5a2

Combine like terms: 6 + -6 = 0
-6 + A4 + 5a2 = 0 + -5a2 + 5a2
-6 + A4 + 5a2 = -5a2 + 5a2

Combine like terms: -5a2 + 5a2 = 0
-6 + A4 + 5a2 = 0

Factor a trinomial.
(A2 + -5a)(A2 + -1a) = 0

Subproblem 1
Set the factor '(A2 + -5a)' equal to zero and attempt to solve:

Simplifying
A2 + -5a = 0

Solving
A2 + -5a = 0

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

Add '5a' to each side of the equation.
A2 + -5a + 5a = 0 + 5a

Combine like terms: -5a + 5a = 0
A2 + 0 = 0 + 5a
A2 = 0 + 5a
Remove the zero:
A2 = 5a

Simplifying
A2 = 5a

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 '(A2 + -1a)' equal to zero and attempt to solve:

Simplifying
A2 + -1a = 0

Solving
A2 + -1a = 0

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

Add 'a' to each side of the equation.
A2 + -1a + a = 0 + a

Combine like terms: -1a + a = 0
A2 + 0 = 0 + a
A2 = 0 + a
Remove the zero:
A2 = a

Simplifying
A2 = a

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.