0=a^2-10a+16

Solution for 0=a^2-10a+16 equation:

Simplifying
0 = a2 + -10a + 16

Reorder the terms:
0 = 16 + -10a + a2

Solving
0 = 16 + -10a + a2

Solving for variable 'a'.

Combine like terms: 0 + -16 = -16
-16 + 10a + -1a2 = 16 + -10a + a2 + -16 + 10a + -1a2

Reorder the terms:
-16 + 10a + -1a2 = 16 + -16 + -10a + 10a + a2 + -1a2

Combine like terms: 16 + -16 = 0
-16 + 10a + -1a2 = 0 + -10a + 10a + a2 + -1a2
-16 + 10a + -1a2 = -10a + 10a + a2 + -1a2

Combine like terms: -10a + 10a = 0
-16 + 10a + -1a2 = 0 + a2 + -1a2
-16 + 10a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
-16 + 10a + -1a2 = 0

Factor a trinomial.
(-8 + a)(2 + -1a) = 0

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

Simplifying
-8 + a = 0

Solving
-8 + a = 0

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

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

Combine like terms: -8 + 8 = 0
0 + a = 0 + 8
a = 0 + 8

Combine like terms: 0 + 8 = 8
a = 8

Simplifying
a = 8
Subproblem 2
Set the factor '(2 + -1a)' equal to zero and attempt to solve:

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = 0 + -2
-1a = 0 + -2

Combine like terms: 0 + -2 = -2
-1a = -2

Divide each side by '-1'.
a = 2

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