2a(4a^2-9b^3+3a^2)=

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Solution for 2a(4a^2-9b^3+3a^2)= equation: 


Simplifying
2a(4a2 + -9b3 + 3a2) = 0

Reorder the terms:
2a(4a2 + 3a2 + -9b3) = 0

Combine like terms: 4a2 + 3a2 = 7a2
2a(7a2 + -9b3) = 0
(7a2 * 2a + -9b3 * 2a) = 0

Reorder the terms:
(-18ab3 + 14a3) = 0
(-18ab3 + 14a3) = 0

Solving
-18ab3 + 14a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-9b3 + 7a2) = 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 '(-9b3 + 7a2)' equal to zero and attempt to solve:

Simplifying
-9b3 + 7a2 = 0

Reorder the terms:
7a2 + -9b3 = 0

Solving
7a2 + -9b3 = 0

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

Add '9b3' to each side of the equation.
7a2 + -9b3 + 9b3 = 0 + 9b3

Combine like terms: -9b3 + 9b3 = 0
7a2 + 0 = 0 + 9b3
7a2 = 0 + 9b3
Remove the zero:
7a2 = 9b3

Divide each side by '7'.
a2 = 1.285714286b3

Simplifying
a2 = 1.285714286b3

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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