5ab^2(3a^2b^3+10ab)=

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Solution for 5ab^2(3a^2b^3+10ab)= equation: 


Simplifying
5ab2(3a2b3 + 10ab) = 0

Reorder the terms:
5ab2(10ab + 3a2b3) = 0
(10ab * 5ab2 + 3a2b3 * 5ab2) = 0
(50a2b3 + 15a3b5) = 0

Solving
50a2b3 + 15a3b5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a2b3'.
5a2b3(10 + 3ab2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'a2b3' equal to zero and attempt to solve:

Simplifying
a2b3 = 0

Solving
a2b3 = 0

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

Simplifying
a2b3 = 0

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 '(10 + 3ab2)' equal to zero and attempt to solve:

Simplifying
10 + 3ab2 = 0

Solving
10 + 3ab2 = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3ab2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3ab2 = 0 + -10
3ab2 = 0 + -10

Combine like terms: 0 + -10 = -10
3ab2 = -10

Divide each side by '3b2'.
a = -3.333333333b-2

Simplifying
a = -3.333333333b-2
Solution
a = {-3.333333333b-2}

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