9a^2-18ab+9b^2=

Solution for 9a^2-18ab+9b^2= equation:

Simplifying
9a2 + -18ab + 9b2 = 0

Reorder the terms:
-18ab + 9a2 + 9b2 = 0

Solving
-18ab + 9a2 + 9b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-2ab + a2 + b2) = 0

Factor a trinomial.
9((a + -1b)(a + -1b)) = 0

Ignore the factor 9.
Subproblem 1
Set the factor '(a + -1b)' equal to zero and attempt to solve:

Simplifying
a + -1b = 0

Solving
a + -1b = 0

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

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

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

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

Simplifying
a + -1b = 0

Solving
a + -1b = 0

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

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

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

Simplifying
a = b
Solution
a = {b, b}