a^2-11ab+18b^2=0

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Solution for a^2-11ab+18b^2=0 equation:


Simplifying
a2 + -11ab + 18b2 = 0

Reorder the terms:
-11ab + a2 + 18b2 = 0

Solving
-11ab + a2 + 18b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -9b)(a + -2b) = 0


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

Simplifying
a + -9b = 0

Solving
a + -9b = 0

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

Add '9b' to each side of the equation.
a + -9b + 9b = 0 + 9b

Combine like terms: -9b + 9b = 0
a + 0 = 0 + 9b
a = 0 + 9b
Remove the zero:
a = 9b

Simplifying
a = 9b

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

Simplifying
a + -2b = 0

Solving
a + -2b = 0

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

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

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

Simplifying
a = 2b
Solution
a = {9b, 2b}

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