5a(3b+2a)+a(2a*2a+3c)=

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Solution for 5a(3b+2a)+a(2a*2a+3c)= equation: 


Simplifying
5a(3b + 2a) + a(2a * 2a + 3c) = 0

Reorder the terms:
5a(2a + 3b) + a(2a * 2a + 3c) = 0
(2a * 5a + 3b * 5a) + a(2a * 2a + 3c) = 0

Reorder the terms:
(15ab + 10a2) + a(2a * 2a + 3c) = 0
(15ab + 10a2) + a(2a * 2a + 3c) = 0

Reorder the terms for easier multiplication:
15ab + 10a2 + a(2 * 2a * a + 3c) = 0

Multiply 2 * 2
15ab + 10a2 + a(4a * a + 3c) = 0

Multiply a * a
15ab + 10a2 + a(4a2 + 3c) = 0
15ab + 10a2 + (4a2 * a + 3c * a) = 0

Reorder the terms:
15ab + 10a2 + (3ac + 4a3) = 0
15ab + 10a2 + (3ac + 4a3) = 0

Reorder the terms:
15ab + 3ac + 10a2 + 4a3 = 0

Solving
15ab + 3ac + 10a2 + 4a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(15b + 3c + 10a + 4a2) = 0


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 '(15b + 3c + 10a + 4a2)' equal to zero and attempt to solve:

Simplifying
15b + 3c + 10a + 4a2 = 0

Reorder the terms:
10a + 4a2 + 15b + 3c = 0

Solving
10a + 4a2 + 15b + 3c = 0

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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