0=(a-6b)(a-6b)

Solution for 0=(a-6b)(a-6b) equation:

Simplifying
0 = (a + -6b)(a + -6b)

Multiply (a + -6b) * (a + -6b)
0 = (a(a + -6b) + -6b * (a + -6b))
0 = ((a * a + -6b * a) + -6b * (a + -6b))

Reorder the terms:
0 = ((-6ab + a2) + -6b * (a + -6b))
0 = ((-6ab + a2) + -6b * (a + -6b))
0 = (-6ab + a2 + (a * -6b + -6b * -6b))
0 = (-6ab + a2 + (-6ab + 36b2))

Reorder the terms:
0 = (-6ab + -6ab + a2 + 36b2)

Combine like terms: -6ab + -6ab = -12ab
0 = (-12ab + a2 + 36b2)

Solving
0 = -12ab + a2 + 36b2

Solving for variable 'a'.
Remove the zero:
12ab + -1a2 + -36b2 = -12ab + a2 + 36b2 + 12ab + -1a2 + -36b2

Reorder the terms:
12ab + -1a2 + -36b2 = -12ab + 12ab + a2 + -1a2 + 36b2 + -36b2

Combine like terms: -12ab + 12ab = 0
12ab + -1a2 + -36b2 = 0 + a2 + -1a2 + 36b2 + -36b2
12ab + -1a2 + -36b2 = a2 + -1a2 + 36b2 + -36b2

Combine like terms: a2 + -1a2 = 0
12ab + -1a2 + -36b2 = 0 + 36b2 + -36b2
12ab + -1a2 + -36b2 = 36b2 + -36b2

Combine like terms: 36b2 + -36b2 = 0
12ab + -1a2 + -36b2 = 0

Factor a trinomial.
(-1a + 6b)(a + -6b) = 0

Subproblem 1
Set the factor '(-1a + 6b)' equal to zero and attempt to solve:

Simplifying
-1a + 6b = 0

Solving
-1a + 6b = 0

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

Add '-6b' to each side of the equation.
-1a + 6b + -6b = 0 + -6b

Combine like terms: 6b + -6b = 0
-1a + 0 = 0 + -6b
-1a = 0 + -6b
Remove the zero:
-1a = -6b

Divide each side by '-1'.
a = 6b

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