9a^2-18ab+9b^2=0

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Solution for 9a^2-18ab+9b^2=0 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}

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