4a(a(2)+7a+4)=

Solution for 4a(a(2)+7a+4)= equation:

Simplifying
4a(a(2) + 7a + 4) = 0

Reorder the terms for easier multiplication:
4a(2a + 7a + 4) = 0

Reorder the terms:
4a(4 + 2a + 7a) = 0

Combine like terms: 2a + 7a = 9a
4a(4 + 9a) = 0
(4 * 4a + 9a * 4a) = 0
(16a + 36a2) = 0

Solving
16a + 36a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a'.
4a(4 + 9a) = 0

Ignore the factor 4.
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 + 9a)' equal to zero and attempt to solve:

Simplifying
4 + 9a = 0

Solving
4 + 9a = 0

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

Add '-4' to each side of the equation.
4 + -4 + 9a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 9a = 0 + -4
9a = 0 + -4

Combine like terms: 0 + -4 = -4
9a = -4

Divide each side by '9'.
a = -0.4444444444

Simplifying
a = -0.4444444444
Solution
a = {0, -0.4444444444}