(2a^2-b)(3a^2+3b)=

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


Simplifying
(2a2 + -1b)(3a2 + 3b) = 0

Multiply (2a2 + -1b) * (3a2 + 3b)
(2a2 * (3a2 + 3b) + -1b * (3a2 + 3b)) = 0
((3a2 * 2a2 + 3b * 2a2) + -1b * (3a2 + 3b)) = 0

Reorder the terms:
((6a2b + 6a4) + -1b * (3a2 + 3b)) = 0
((6a2b + 6a4) + -1b * (3a2 + 3b)) = 0
(6a2b + 6a4 + (3a2 * -1b + 3b * -1b)) = 0
(6a2b + 6a4 + (-3a2b + -3b2)) = 0

Reorder the terms:
(6a2b + -3a2b + 6a4 + -3b2) = 0

Combine like terms: 6a2b + -3a2b = 3a2b
(3a2b + 6a4 + -3b2) = 0

Solving
3a2b + 6a4 + -3b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(a2b + 2a4 + -1b2) = 0

Factor a trinomial.
3((2a2 + -1b)(a2 + b)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(2a2 + -1b)' equal to zero and attempt to solve:

Simplifying
2a2 + -1b = 0

Solving
2a2 + -1b = 0

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

Add 'b' to each side of the equation.
2a2 + -1b + b = 0 + b

Combine like terms: -1b + b = 0
2a2 + 0 = 0 + b
2a2 = 0 + b
Remove the zero:
2a2 = b

Divide each side by '2'.
a2 = 0.5b

Simplifying
a2 = 0.5b

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 + b)' equal to zero and attempt to solve:

Simplifying
a2 + b = 0

Solving
a2 + b = 0

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

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

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

Simplifying
a2 = -1b

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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