a^2-10ab+16b^2=

Solution for a^2-10ab+16b^2= equation:

Simplifying
a2 + -10ab + 16b2 = 0

Reorder the terms:
-10ab + a2 + 16b2 = 0

Solving
-10ab + a2 + 16b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -8b)(a + -2b) = 0

Subproblem 1
Set the factor '(a + -8b)' equal to zero and attempt to solve:

Simplifying
a + -8b = 0

Solving
a + -8b = 0

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

Add '8b' to each side of the equation.
a + -8b + 8b = 0 + 8b

Combine like terms: -8b + 8b = 0
a + 0 = 0 + 8b
a = 0 + 8b
Remove the zero:
a = 8b

Simplifying
a = 8b
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 = {8b, 2b}