(9a^3+3a^2)+(5a^2+6a^2)=

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Solution for (9a^3+3a^2)+(5a^2+6a^2)= equation: 


Simplifying
(9a3 + 3a2) + (5a2 + 6a2) = 0

Reorder the terms:
(3a2 + 9a3) + (5a2 + 6a2) = 0

Remove parenthesis around (3a2 + 9a3)
3a2 + 9a3 + (5a2 + 6a2) = 0

Combine like terms: 5a2 + 6a2 = 11a2
3a2 + 9a3 + (11a2) = 0
3a2 + 9a3 + (11a2) = 0

Reorder the terms:
3a2 + (11a2) + 9a3 = 0

Combine like terms: 3a2 + (11a2) = 14a2
14a2 + 9a3 = 0

Solving
14a2 + 9a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(14 + 9a) = 0


Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}

Subproblem 2
Set the factor '(14 + 9a)' equal to zero and attempt to solve:

Simplifying
14 + 9a = 0

Solving
14 + 9a = 0

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

Add '-14' to each side of the equation.
14 + -14 + 9a = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 9a = 0 + -14
9a = 0 + -14

Combine like terms: 0 + -14 = -14
9a = -14

Divide each side by '9'.
a = -1.555555556

Simplifying
a = -1.555555556
Solution
a = {0, -1.555555556}

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