5a^2(3a^4+36+2)=

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Solution for 5a^2(3a^4+36+2)= equation: 


Simplifying
5a2(3a4 + 36 + 2) = 0

Reorder the terms:
5a2(36 + 2 + 3a4) = 0

Combine like terms: 36 + 2 = 38
5a2(38 + 3a4) = 0
(38 * 5a2 + 3a4 * 5a2) = 0
(190a2 + 15a6) = 0

Solving
190a2 + 15a6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a2'.
5a2(38 + 3a4) = 0

Ignore the factor 5.

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 '(38 + 3a4)' equal to zero and attempt to solve:

Simplifying
38 + 3a4 = 0

Solving
38 + 3a4 = 0

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

Add '-38' to each side of the equation.
38 + -38 + 3a4 = 0 + -38

Combine like terms: 38 + -38 = 0
0 + 3a4 = 0 + -38
3a4 = 0 + -38

Combine like terms: 0 + -38 = -38
3a4 = -38

Divide each side by '3'.
a4 = -12.66666667

Simplifying
a4 = -12.66666667

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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