5ab(2a+c)=

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


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

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

Solving
5abc + 10a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5ab'.
5ab(c + 2a) = 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 '(c + 2a)' equal to zero and attempt to solve:

Simplifying
c + 2a = 0

Reorder the terms:
2a + c = 0

Solving
2a + c = 0

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

Add '-1c' to each side of the equation.
2a + c + -1c = 0 + -1c

Combine like terms: c + -1c = 0
2a + 0 = 0 + -1c
2a = 0 + -1c
Remove the zero:
2a = -1c

Divide each side by '2'.
a = -0.5c

Simplifying
a = -0.5c
Solution
a = {-0.5c}

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