x^2-3*a*x+2*a^2=00

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Solution for x^2-3*a*x+2*a^2=00 equation: 


Simplifying
x2 + -3a * x + 2a2 = 0

Multiply a * x
x2 + -3ax + 2a2 = 0

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

Solving
-3ax + 2a2 + x2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -1x)(2a + -1x) = 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 '(2a + -1x)' equal to zero and attempt to solve:

Simplifying
2a + -1x = 0

Solving
2a + -1x = 0

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

Add 'x' to each side of the equation.
2a + -1x + x = 0 + x

Combine like terms: -1x + x = 0
2a + 0 = 0 + x
2a = 0 + x
Remove the zero:
2a = x

Divide each side by '2'.
a = 0.5x

Simplifying
a = 0.5x
Solution
a = {x, 0.5x}

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