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

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

Simplifying
2x2 + -3ax + a2 = 0

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

Solving
-3ax + a2 + 2x2 = 0

Solving for variable 'a'.

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

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

Simplifying
a + -2x = 0

Solving
a + -2x = 0

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

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

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

Simplifying
a = 2x
Subproblem 2
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
Solution
a = {2x, x}