y^2-20y+100=16

Solution for y^2-20y+100=16 equation:

Simplifying
y2 + -20y + 100 = 16

Reorder the terms:
100 + -20y + y2 = 16

Solving
100 + -20y + y2 = 16

Solving for variable 'y'.

Reorder the terms:
100 + -16 + -20y + y2 = 16 + -16

Combine like terms: 100 + -16 = 84
84 + -20y + y2 = 16 + -16

Combine like terms: 16 + -16 = 0
84 + -20y + y2 = 0

Factor a trinomial.
(6 + -1y)(14 + -1y) = 0

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

Simplifying
6 + -1y = 0

Solving
6 + -1y = 0

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

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

Combine like terms: 6 + -6 = 0
0 + -1y = 0 + -6
-1y = 0 + -6

Combine like terms: 0 + -6 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6
Subproblem 2
Set the factor '(14 + -1y)' equal to zero and attempt to solve:

Simplifying
14 + -1y = 0

Solving
14 + -1y = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1y = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1y = 0 + -14
-1y = 0 + -14

Combine like terms: 0 + -14 = -14
-1y = -14

Divide each side by '-1'.
y = 14

Simplifying
y = 14
Solution
y = {6, 14}