a^2x^2-2abx+a^2=0

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


Simplifying
a2x2 + -2abx + a2 = 0

Reorder the terms:
-2abx + a2 + a2x2 = 0

Solving
-2abx + a2 + a2x2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-2bx + a + ax2) = 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 '(-2bx + a + ax2)' equal to zero and attempt to solve:

Simplifying
-2bx + a + ax2 = 0

Reorder the terms:
a + ax2 + -2bx = 0

Solving
a + ax2 + -2bx = 0

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

Add '2bx' to each side of the equation.
a + ax2 + -2bx + 2bx = 0 + 2bx

Combine like terms: -2bx + 2bx = 0
a + ax2 + 0 = 0 + 2bx
a + ax2 = 0 + 2bx
Remove the zero:
a + ax2 = 2bx

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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