5a(2b+4a)=

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Solution for 5a(2b+4a)= equation: 


Simplifying
5a(2b + 4a) = 0

Reorder the terms:
5a(4a + 2b) = 0
(4a * 5a + 2b * 5a) = 0

Reorder the terms:
(10ab + 20a2) = 0
(10ab + 20a2) = 0

Solving
10ab + 20a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '10a'.
10a(b + 2a) = 0

Ignore the factor 10.

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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(b + 2a)' equal to zero and attempt to solve:

Simplifying
b + 2a = 0

Reorder the terms:
2a + b = 0

Solving
2a + b = 0

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

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

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

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

Simplifying
a = -0.5b
Solution
a = {0, -0.5b}

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