(a^2x^3+b^4)(a^2x^3+2b^4)=

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Solution for (a^2x^3+b^4)(a^2x^3+2b^4)= equation: 


Simplifying
(a2x3 + b4)(a2x3 + 2b4) = 0

Multiply (a2x3 + b4) * (a2x3 + 2b4)
(a2x3(a2x3 + 2b4) + b4(a2x3 + 2b4)) = 0
((a2x3 * a2x3 + 2b4 * a2x3) + b4(a2x3 + 2b4)) = 0

Reorder the terms:
((2a2b4x3 + a4x6) + b4(a2x3 + 2b4)) = 0
((2a2b4x3 + a4x6) + b4(a2x3 + 2b4)) = 0
(2a2b4x3 + a4x6 + (a2x3 * b4 + 2b4 * b4)) = 0
(2a2b4x3 + a4x6 + (a2b4x3 + 2b8)) = 0

Reorder the terms:
(2a2b4x3 + a2b4x3 + a4x6 + 2b8) = 0

Combine like terms: 2a2b4x3 + a2b4x3 = 3a2b4x3
(3a2b4x3 + a4x6 + 2b8) = 0

Solving
3a2b4x3 + a4x6 + 2b8 = 0

Solving for variable 'a'.

Factor a trinomial.
(a2x3 + b4)(a2x3 + 2b4) = 0


Subproblem 1
Set the factor '(a2x3 + b4)' equal to zero and attempt to solve:

Simplifying
a2x3 + b4 = 0

Solving
a2x3 + b4 = 0

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

Add '-1b4' to each side of the equation.
a2x3 + b4 + -1b4 = 0 + -1b4

Combine like terms: b4 + -1b4 = 0
a2x3 + 0 = 0 + -1b4
a2x3 = 0 + -1b4
Remove the zero:
a2x3 = -1b4

Divide each side by 'x3'.
a2 = -1b4x-3

Simplifying
a2 = -1b4x-3

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 '(a2x3 + 2b4)' equal to zero and attempt to solve:

Simplifying
a2x3 + 2b4 = 0

Solving
a2x3 + 2b4 = 0

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

Add '-2b4' to each side of the equation.
a2x3 + 2b4 + -2b4 = 0 + -2b4

Combine like terms: 2b4 + -2b4 = 0
a2x3 + 0 = 0 + -2b4
a2x3 = 0 + -2b4
Remove the zero:
a2x3 = -2b4

Divide each side by 'x3'.
a2 = -2b4x-3

Simplifying
a2 = -2b4x-3

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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