x^2-16x+59=4

Solution for x^2-16x+59=4 equation:

Simplifying
x2 + -16x + 59 = 4

Reorder the terms:
59 + -16x + x2 = 4

Solving
59 + -16x + x2 = 4

Solving for variable 'x'.

Reorder the terms:
59 + -4 + -16x + x2 = 4 + -4

Combine like terms: 59 + -4 = 55
55 + -16x + x2 = 4 + -4

Combine like terms: 4 + -4 = 0
55 + -16x + x2 = 0

Factor a trinomial.
(5 + -1x)(11 + -1x) = 0

Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {5, 11}