a^2-6ab+8b^2=

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Solution for a^2-6ab+8b^2= equation: 


Simplifying
a2 + -6ab + 8b2 = 0

Reorder the terms:
-6ab + a2 + 8b2 = 0

Solving
-6ab + a2 + 8b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -4b)(a + -2b) = 0


Subproblem 1
Set the factor '(a + -4b)' equal to zero and attempt to solve:

Simplifying
a + -4b = 0

Solving
a + -4b = 0

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

Add '4b' to each side of the equation.
a + -4b + 4b = 0 + 4b

Combine like terms: -4b + 4b = 0
a + 0 = 0 + 4b
a = 0 + 4b
Remove the zero:
a = 4b

Simplifying
a = 4b

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 = {4b, 2b}

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