3a^2-2x^2-ax=0

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


Simplifying
3a2 + -2x2 + -1ax = 0

Reorder the terms:
-1ax + 3a2 + -2x2 = 0

Solving
-1ax + 3a2 + -2x2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -1x)(3a + 2x) = 0


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 + 2x)' equal to zero and attempt to solve:

Simplifying
3a + 2x = 0

Solving
3a + 2x = 0

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

Add '-2x' to each side of the equation.
3a + 2x + -2x = 0 + -2x

Combine like terms: 2x + -2x = 0
3a + 0 = 0 + -2x
3a = 0 + -2x
Remove the zero:
3a = -2x

Divide each side by '3'.
a = -0.6666666667x

Simplifying
a = -0.6666666667x
Solution
a = {x, -0.6666666667x}

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