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

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


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

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

Reorder the terms:
((9a2b + 6a4) + -2b * (2a2 + 3b)) = 0
((9a2b + 6a4) + -2b * (2a2 + 3b)) = 0
(9a2b + 6a4 + (2a2 * -2b + 3b * -2b)) = 0
(9a2b + 6a4 + (-4a2b + -6b2)) = 0

Reorder the terms:
(9a2b + -4a2b + 6a4 + -6b2) = 0

Combine like terms: 9a2b + -4a2b = 5a2b
(5a2b + 6a4 + -6b2) = 0

Solving
5a2b + 6a4 + -6b2 = 0

Solving for variable 'a'.

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


Subproblem 1
Set the factor '(3a2 + -2b)' equal to zero and attempt to solve:

Simplifying
3a2 + -2b = 0

Solving
3a2 + -2b = 0

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

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

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

Divide each side by '3'.
a2 = 0.6666666667b

Simplifying
a2 = 0.6666666667b

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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