a^2-18ab+72b^2=

Solution for a^2-18ab+72b^2= equation:

Simplifying
a2 + -18ab + 72b2 = 0

Reorder the terms:
-18ab + a2 + 72b2 = 0

Solving
-18ab + a2 + 72b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -12b)(a + -6b) = 0

Subproblem 1
Set the factor '(a + -12b)' equal to zero and attempt to solve:

Simplifying
a + -12b = 0

Solving
a + -12b = 0

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

Add '12b' to each side of the equation.
a + -12b + 12b = 0 + 12b

Combine like terms: -12b + 12b = 0
a + 0 = 0 + 12b
a = 0 + 12b
Remove the zero:
a = 12b

Simplifying
a = 12b
Subproblem 2
Set the factor '(a + -6b)' equal to zero and attempt to solve:

Simplifying
a + -6b = 0

Solving
a + -6b = 0

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

Add '6b' to each side of the equation.
a + -6b + 6b = 0 + 6b

Combine like terms: -6b + 6b = 0
a + 0 = 0 + 6b
a = 0 + 6b
Remove the zero:
a = 6b

Simplifying
a = 6b
Solution
a = {12b, 6b}