(a^2-b^4)*(a^2-b^4)=

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Solution for (a^2-b^4)*(a^2-b^4)= equation: 


Simplifying
(a2 + -1b4)(a2 + -1b4) = 0

Multiply (a2 + -1b4) * (a2 + -1b4)
(a2(a2 + -1b4) + -1b4 * (a2 + -1b4)) = 0
((a2 * a2 + -1b4 * a2) + -1b4 * (a2 + -1b4)) = 0

Reorder the terms:
((-1a2b4 + a4) + -1b4 * (a2 + -1b4)) = 0
((-1a2b4 + a4) + -1b4 * (a2 + -1b4)) = 0
(-1a2b4 + a4 + (a2 * -1b4 + -1b4 * -1b4)) = 0
(-1a2b4 + a4 + (-1a2b4 + 1b8)) = 0

Reorder the terms:
(-1a2b4 + -1a2b4 + a4 + 1b8) = 0

Combine like terms: -1a2b4 + -1a2b4 = -2a2b4
(-2a2b4 + a4 + 1b8) = 0

Solving
-2a2b4 + a4 + 1b8 = 0

Solving for variable 'a'.

Factor a trinomial.
(a2 + -1b4)(a2 + -1b4) = 0

Factor a difference between two squares.
((a + b2)(a + -1b2))(a2 + -1b4) = 0

Factor a difference between two squares.
((a + b2)(a + -1b2))(a + b2)(a + -1b2) = 0


Subproblem 1
Set the factor '(a + b2)' equal to zero and attempt to solve:

Simplifying
a + b2 = 0

Solving
a + b2 = 0

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

Add '-1b2' to each side of the equation.
a + b2 + -1b2 = 0 + -1b2

Combine like terms: b2 + -1b2 = 0
a + 0 = 0 + -1b2
a = 0 + -1b2
Remove the zero:
a = -1b2

Simplifying
a = -1b2

Subproblem 2
Set the factor '(a + -1b2)' equal to zero and attempt to solve:

Simplifying
a + -1b2 = 0

Solving
a + -1b2 = 0

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

Add 'b2' to each side of the equation.
a + -1b2 + b2 = 0 + b2

Combine like terms: -1b2 + b2 = 0
a + 0 = 0 + b2
a = 0 + b2
Remove the zero:
a = b2

Simplifying
a = b2

Subproblem 3
Set the factor '(a + b2)' equal to zero and attempt to solve:

Simplifying
a + b2 = 0

Solving
a + b2 = 0

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

Add '-1b2' to each side of the equation.
a + b2 + -1b2 = 0 + -1b2

Combine like terms: b2 + -1b2 = 0
a + 0 = 0 + -1b2
a = 0 + -1b2
Remove the zero:
a = -1b2

Simplifying
a = -1b2

Subproblem 4
Set the factor '(a + -1b2)' equal to zero and attempt to solve:

Simplifying
a + -1b2 = 0

Solving
a + -1b2 = 0

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

Add 'b2' to each side of the equation.
a + -1b2 + b2 = 0 + b2

Combine like terms: -1b2 + b2 = 0
a + 0 = 0 + b2
a = 0 + b2
Remove the zero:
a = b2

Simplifying
a = b2
Solution
a = {-1b2, b2, -1b2, b2}

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