(2a+a+16)*2a=

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Solution for (2a+a+16)*2a= equation: 


Simplifying
(2a + a + 16) * 2a = 0

Reorder the terms:
(16 + 2a + a) * 2a = 0

Combine like terms: 2a + a = 3a
(16 + 3a) * 2a = 0

Reorder the terms for easier multiplication:
2a(16 + 3a) = 0
(16 * 2a + 3a * 2a) = 0
(32a + 6a2) = 0

Solving
32a + 6a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(16 + 3a) = 0

Ignore the factor 2.

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 '(16 + 3a)' equal to zero and attempt to solve:

Simplifying
16 + 3a = 0

Solving
16 + 3a = 0

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

Add '-16' to each side of the equation.
16 + -16 + 3a = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 3a = 0 + -16
3a = 0 + -16

Combine like terms: 0 + -16 = -16
3a = -16

Divide each side by '3'.
a = -5.333333333

Simplifying
a = -5.333333333
Solution
a = {0, -5.333333333}

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