(4ab^4+7a^4b)(4a^4b-4ab^4)=

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Solution for (4ab^4+7a^4b)(4a^4b-4ab^4)= equation: 


Simplifying
(4ab4 + 7a4b)(4a4b + -4ab4) = 0

Reorder the terms:
(4ab4 + 7a4b)(-4ab4 + 4a4b) = 0

Multiply (4ab4 + 7a4b) * (-4ab4 + 4a4b)
(4ab4 * (-4ab4 + 4a4b) + 7a4b * (-4ab4 + 4a4b)) = 0
((-4ab4 * 4ab4 + 4a4b * 4ab4) + 7a4b * (-4ab4 + 4a4b)) = 0
((-16a2b8 + 16a5b5) + 7a4b * (-4ab4 + 4a4b)) = 0
(-16a2b8 + 16a5b5 + (-4ab4 * 7a4b + 4a4b * 7a4b)) = 0
(-16a2b8 + 16a5b5 + (-28a5b5 + 28a8b2)) = 0

Combine like terms: 16a5b5 + -28a5b5 = -12a5b5
(-16a2b8 + -12a5b5 + 28a8b2) = 0

Solving
-16a2b8 + -12a5b5 + 28a8b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a2b2'.
4a2b2(-4b6 + -3a3b3 + 7a6) = 0

Factor a trinomial.
4a2b2((-4b3 + -7a3)(b3 + -1a3)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'a2b2' equal to zero and attempt to solve:

Simplifying
a2b2 = 0

Solving
a2b2 = 0

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

Simplifying
a2b2 = 0

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 '(-4b3 + -7a3)' equal to zero and attempt to solve:

Simplifying
-4b3 + -7a3 = 0

Reorder the terms:
-7a3 + -4b3 = 0

Solving
-7a3 + -4b3 = 0

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

Add '4b3' to each side of the equation.
-7a3 + -4b3 + 4b3 = 0 + 4b3

Combine like terms: -4b3 + 4b3 = 0
-7a3 + 0 = 0 + 4b3
-7a3 = 0 + 4b3
Remove the zero:
-7a3 = 4b3

Divide each side by '-7'.
a3 = -0.5714285714b3

Simplifying
a3 = -0.5714285714b3

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(b3 + -1a3)' equal to zero and attempt to solve:

Simplifying
b3 + -1a3 = 0

Reorder the terms:
-1a3 + b3 = 0

Solving
-1a3 + b3 = 0

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

Add '-1b3' to each side of the equation.
-1a3 + b3 + -1b3 = 0 + -1b3

Combine like terms: b3 + -1b3 = 0
-1a3 + 0 = 0 + -1b3
-1a3 = 0 + -1b3
Remove the zero:
-1a3 = -1b3

Divide each side by '-1'.
a3 = b3

Simplifying
a3 = b3

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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