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

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


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

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

Reorder the terms:
((-4a2b + 4a4) + 3b * (2a2 + -2b)) = 0
((-4a2b + 4a4) + 3b * (2a2 + -2b)) = 0
(-4a2b + 4a4 + (2a2 * 3b + -2b * 3b)) = 0
(-4a2b + 4a4 + (6a2b + -6b2)) = 0

Reorder the terms:
(-4a2b + 6a2b + 4a4 + -6b2) = 0

Combine like terms: -4a2b + 6a2b = 2a2b
(2a2b + 4a4 + -6b2) = 0

Solving
2a2b + 4a4 + -6b2 = 0

Solving for variable 'a'.

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

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

Ignore the factor 2.

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 '(2a2 + 3b)' equal to zero and attempt to solve:

Simplifying
2a2 + 3b = 0

Solving
2a2 + 3b = 0

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

Add '-3b' to each side of the equation.
2a2 + 3b + -3b = 0 + -3b

Combine like terms: 3b + -3b = 0
2a2 + 0 = 0 + -3b
2a2 = 0 + -3b
Remove the zero:
2a2 = -3b

Divide each side by '2'.
a2 = -1.5b

Simplifying
a2 = -1.5b

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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