A^4-17a^2+16=0

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Solution for A^4-17a^2+16=0 equation: 


Simplifying
A4 + -17a2 + 16 = 0

Reorder the terms:
16 + A4 + -17a2 = 0

Solving
16 + A4 + -17a2 = 0

Solving for variable 'A'.

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

Add '-16' to each side of the equation.
16 + A4 + -16 + -17a2 = 0 + -16

Reorder the terms:
16 + -16 + A4 + -17a2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + A4 + -17a2 = 0 + -16
A4 + -17a2 = 0 + -16

Combine like terms: 0 + -16 = -16
A4 + -17a2 = -16

Add '17a2' to each side of the equation.
A4 + -17a2 + 17a2 = -16 + 17a2

Combine like terms: -17a2 + 17a2 = 0
A4 + 0 = -16 + 17a2
A4 = -16 + 17a2

Simplifying
A4 = -16 + 17a2

Reorder the terms:
16 + A4 + -17a2 = -16 + 17a2 + 16 + -17a2

Reorder the terms:
16 + A4 + -17a2 = -16 + 16 + 17a2 + -17a2

Combine like terms: -16 + 16 = 0
16 + A4 + -17a2 = 0 + 17a2 + -17a2
16 + A4 + -17a2 = 17a2 + -17a2

Combine like terms: 17a2 + -17a2 = 0
16 + A4 + -17a2 = 0

Factor a trinomial.
(A2 + -1a)(A2 + 17a) = 0


Subproblem 1
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.

Subproblem 2
Set the factor '(A2 + 17a)' equal to zero and attempt to solve:

Simplifying
A2 + 17a = 0

Solving
A2 + 17a = 0

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

Add '-17a' to each side of the equation.
A2 + 17a + -17a = 0 + -17a

Combine like terms: 17a + -17a = 0
A2 + 0 = 0 + -17a
A2 = 0 + -17a
Remove the zero:
A2 = -17a

Simplifying
A2 = -17a

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.

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