(9a^2+8b)(a^2-b)=

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Solution for (9a^2+8b)(a^2-b)= equation: 


Simplifying
(9a2 + 8b)(a2 + -1b) = 0

Multiply (9a2 + 8b) * (a2 + -1b)
(9a2 * (a2 + -1b) + 8b * (a2 + -1b)) = 0
((a2 * 9a2 + -1b * 9a2) + 8b * (a2 + -1b)) = 0

Reorder the terms:
((-9a2b + 9a4) + 8b * (a2 + -1b)) = 0
((-9a2b + 9a4) + 8b * (a2 + -1b)) = 0
(-9a2b + 9a4 + (a2 * 8b + -1b * 8b)) = 0
(-9a2b + 9a4 + (8a2b + -8b2)) = 0

Reorder the terms:
(-9a2b + 8a2b + 9a4 + -8b2) = 0

Combine like terms: -9a2b + 8a2b = -1a2b
(-1a2b + 9a4 + -8b2) = 0

Solving
-1a2b + 9a4 + -8b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a2 + -1b)(9a2 + 8b) = 0


Subproblem 1
Set the factor '(a2 + -1b)' equal to zero and attempt to solve:

Simplifying
a2 + -1b = 0

Solving
a2 + -1b = 0

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

Add 'b' to each side of the equation.
a2 + -1b + b = 0 + b

Combine like terms: -1b + b = 0
a2 + 0 = 0 + b
a2 = 0 + b
Remove the zero:
a2 = b

Simplifying
a2 = b

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 '(9a2 + 8b)' equal to zero and attempt to solve:

Simplifying
9a2 + 8b = 0

Solving
9a2 + 8b = 0

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

Add '-8b' to each side of the equation.
9a2 + 8b + -8b = 0 + -8b

Combine like terms: 8b + -8b = 0
9a2 + 0 = 0 + -8b
9a2 = 0 + -8b
Remove the zero:
9a2 = -8b

Divide each side by '9'.
a2 = -0.8888888889b

Simplifying
a2 = -0.8888888889b

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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