5ab(a+2b)=

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


Simplifying
5ab(a + 2b) = 0
(a * 5ab + 2b * 5ab) = 0

Reorder the terms:
(10ab2 + 5a2b) = 0
(10ab2 + 5a2b) = 0

Solving
10ab2 + 5a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5ab'.
5ab(2b + a) = 0

Ignore the factor 5.

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

Simplifying
ab = 0

Solving
ab = 0

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

Simplifying
ab = 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 '(2b + a)' equal to zero and attempt to solve:

Simplifying
2b + a = 0

Reorder the terms:
a + 2b = 0

Solving
a + 2b = 0

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

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

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

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

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