(a^2-3b)(a^2+5b)=

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Solution for (a^2-3b)(a^2+5b)= equation: 


Simplifying
(a2 + -3b)(a2 + 5b) = 0

Multiply (a2 + -3b) * (a2 + 5b)
(a2(a2 + 5b) + -3b * (a2 + 5b)) = 0
((a2 * a2 + 5b * a2) + -3b * (a2 + 5b)) = 0

Reorder the terms:
((5a2b + a4) + -3b * (a2 + 5b)) = 0
((5a2b + a4) + -3b * (a2 + 5b)) = 0
(5a2b + a4 + (a2 * -3b + 5b * -3b)) = 0
(5a2b + a4 + (-3a2b + -15b2)) = 0

Reorder the terms:
(5a2b + -3a2b + a4 + -15b2) = 0

Combine like terms: 5a2b + -3a2b = 2a2b
(2a2b + a4 + -15b2) = 0

Solving
2a2b + a4 + -15b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a2 + -3b)(a2 + 5b) = 0


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

Simplifying
a2 + -3b = 0

Solving
a2 + -3b = 0

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

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

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

Simplifying
a2 = 3b

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

Simplifying
a2 + 5b = 0

Solving
a2 + 5b = 0

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

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

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

Simplifying
a2 = -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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