x^2-12x+34=23

Solution for x^2-12x+34=23 equation:

Simplifying
x2 + -12x + 34 = 23

Reorder the terms:
34 + -12x + x2 = 23

Solving
34 + -12x + x2 = 23

Solving for variable 'x'.

Reorder the terms:
34 + -23 + -12x + x2 = 23 + -23

Combine like terms: 34 + -23 = 11
11 + -12x + x2 = 23 + -23

Combine like terms: 23 + -23 = 0
11 + -12x + x2 = 0

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

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
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 = {1, 11}