(6a^2-b)(5a^2+6b)=

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Solution for (6a^2-b)(5a^2+6b)= equation: 


Simplifying
(6a2 + -1b)(5a2 + 6b) = 0

Multiply (6a2 + -1b) * (5a2 + 6b)
(6a2 * (5a2 + 6b) + -1b * (5a2 + 6b)) = 0
((5a2 * 6a2 + 6b * 6a2) + -1b * (5a2 + 6b)) = 0

Reorder the terms:
((36a2b + 30a4) + -1b * (5a2 + 6b)) = 0
((36a2b + 30a4) + -1b * (5a2 + 6b)) = 0
(36a2b + 30a4 + (5a2 * -1b + 6b * -1b)) = 0
(36a2b + 30a4 + (-5a2b + -6b2)) = 0

Reorder the terms:
(36a2b + -5a2b + 30a4 + -6b2) = 0

Combine like terms: 36a2b + -5a2b = 31a2b
(31a2b + 30a4 + -6b2) = 0

Solving
31a2b + 30a4 + -6b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(6a2 + -1b)(5a2 + 6b) = 0


Subproblem 1
Set the factor '(6a2 + -1b)' equal to zero and attempt to solve:

Simplifying
6a2 + -1b = 0

Solving
6a2 + -1b = 0

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

Add 'b' to each side of the equation.
6a2 + -1b + b = 0 + b

Combine like terms: -1b + b = 0
6a2 + 0 = 0 + b
6a2 = 0 + b
Remove the zero:
6a2 = b

Divide each side by '6'.
a2 = 0.1666666667b

Simplifying
a2 = 0.1666666667b

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 '(5a2 + 6b)' equal to zero and attempt to solve:

Simplifying
5a2 + 6b = 0

Solving
5a2 + 6b = 0

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

Add '-6b' to each side of the equation.
5a2 + 6b + -6b = 0 + -6b

Combine like terms: 6b + -6b = 0
5a2 + 0 = 0 + -6b
5a2 = 0 + -6b
Remove the zero:
5a2 = -6b

Divide each side by '5'.
a2 = -1.2b

Simplifying
a2 = -1.2b

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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