x^2-8x+16=100

Solution for x^2-8x+16=100 equation:

Simplifying
x2 + -8x + 16 = 100

Reorder the terms:
16 + -8x + x2 = 100

Solving
16 + -8x + x2 = 100

Solving for variable 'x'.

Reorder the terms:
16 + -100 + -8x + x2 = 100 + -100

Combine like terms: 16 + -100 = -84
-84 + -8x + x2 = 100 + -100

Combine like terms: 100 + -100 = 0
-84 + -8x + x2 = 0

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

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

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

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

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

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

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

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

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

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

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

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

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

Simplifying
x = 14
Solution
x = {-6, 14}