6a^2(3b^3+-4a)=0

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Solution for 6a^2(3b^3+-4a)=0 equation: 


Simplifying
6a2(3b3 + -4a) = 0

Reorder the terms:
6a2(-4a + 3b3) = 0
(-4a * 6a2 + 3b3 * 6a2) = 0

Reorder the terms:
(18a2b3 + -24a3) = 0
(18a2b3 + -24a3) = 0

Solving
18a2b3 + -24a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a2'.
6a2(3b3 + -4a) = 0

Ignore the factor 6.

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 '(3b3 + -4a)' equal to zero and attempt to solve:

Simplifying
3b3 + -4a = 0

Reorder the terms:
-4a + 3b3 = 0

Solving
-4a + 3b3 = 0

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

Add '-3b3' to each side of the equation.
-4a + 3b3 + -3b3 = 0 + -3b3

Combine like terms: 3b3 + -3b3 = 0
-4a + 0 = 0 + -3b3
-4a = 0 + -3b3
Remove the zero:
-4a = -3b3

Divide each side by '-4'.
a = 0.75b3

Simplifying
a = 0.75b3
Solution
a = {0, 0.75b3}

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