3x^2+9a^2=12ax

Solution for 3x^2+9a^2=12ax equation:

Simplifying
3x2 + 9a2 = 12ax

Reorder the terms:
9a2 + 3x2 = 12ax

Solving
9a2 + 3x2 = 12ax

Solving for variable 'a'.

Reorder the terms:
-12ax + 9a2 + 3x2 = 12ax + -12ax

Combine like terms: 12ax + -12ax = 0
-12ax + 9a2 + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-4ax + 3a2 + x2) = 0

Factor a trinomial.
3((a + -1x)(3a + -1x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(a + -1x)' equal to zero and attempt to solve:

Simplifying
a + -1x = 0

Solving
a + -1x = 0

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

Add 'x' to each side of the equation.
a + -1x + x = 0 + x

Combine like terms: -1x + x = 0
a + 0 = 0 + x
a = 0 + x
Remove the zero:
a = x

Simplifying
a = x
Subproblem 2
Set the factor '(3a + -1x)' equal to zero and attempt to solve:

Simplifying
3a + -1x = 0

Solving
3a + -1x = 0

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

Add 'x' to each side of the equation.
3a + -1x + x = 0 + x

Combine like terms: -1x + x = 0
3a + 0 = 0 + x
3a = 0 + x
Remove the zero:
3a = x

Divide each side by '3'.
a = 0.3333333333x

Simplifying
a = 0.3333333333x
Solution
a = {x, 0.3333333333x}