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

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


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

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

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

Combine like terms: 2a + 32a = 34a
34a + 2a2 = 0

Solving
34a + 2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(17 + a) = 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 '(17 + a)' equal to zero and attempt to solve:

Simplifying
17 + a = 0

Solving
17 + a = 0

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

Add '-17' to each side of the equation.
17 + -17 + a = 0 + -17

Combine like terms: 17 + -17 = 0
0 + a = 0 + -17
a = 0 + -17

Combine like terms: 0 + -17 = -17
a = -17

Simplifying
a = -17
Solution
a = {0, -17}

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