3ax^2-a^3=0

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Solution for 3ax^2-a^3=0 equation: 


Simplifying
3ax2 + -1a3 = 0

Solving
3ax2 + -1a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(3x2 + -1a2) = 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 '(3x2 + -1a2)' equal to zero and attempt to solve:

Simplifying
3x2 + -1a2 = 0

Reorder the terms:
-1a2 + 3x2 = 0

Solving
-1a2 + 3x2 = 0

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

Add '-3x2' to each side of the equation.
-1a2 + 3x2 + -3x2 = 0 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-1a2 + 0 = 0 + -3x2
-1a2 = 0 + -3x2
Remove the zero:
-1a2 = -3x2

Divide each side by '-1'.
a2 = 3x2

Simplifying
a2 = 3x2

Take the square root of each side:
a = {-1.732050808x, 1.732050808x}
Solution
a = {0, -1.732050808x, 1.732050808x}

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