(a*2)(a^2+2a+4)=

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Solution for (a*2)(a^2+2a+4)= equation: 


Simplifying
(a * 2)(a2 + 2a + 4) = 0

Reorder the terms for easier multiplication:
(2a)(a2 + 2a + 4) = 0

Remove parenthesis around (2a)
2a(a2 + 2a + 4) = 0

Reorder the terms:
2a(4 + 2a + a2) = 0
(4 * 2a + 2a * 2a + a2 * 2a) = 0
(8a + 4a2 + 2a3) = 0

Solving
8a + 4a2 + 2a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(4 + 2a + a2) = 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 '(4 + 2a + a2)' equal to zero and attempt to solve:

Simplifying
4 + 2a + a2 = 0

Solving
4 + 2a + a2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 2a + -4 + a2 = 0 + -4

Reorder the terms:
4 + -4 + 2a + a2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 2a + a2 = 0 + -4
2a + a2 = 0 + -4

Combine like terms: 0 + -4 = -4
2a + a2 = -4

The a term is 2a.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2a + 1 + a2 = -4 + 1

Reorder the terms:
1 + 2a + a2 = -4 + 1

Combine like terms: -4 + 1 = -3
1 + 2a + a2 = -3

Factor a perfect square on the left side:
(a + 1)(a + 1) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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