x^2-26x+184=51

Solution for x^2-26x+184=51 equation:

Simplifying
x2 + -26x + 184 = 51

Reorder the terms:
184 + -26x + x2 = 51

Solving
184 + -26x + x2 = 51

Solving for variable 'x'.

Reorder the terms:
184 + -51 + -26x + x2 = 51 + -51

Combine like terms: 184 + -51 = 133
133 + -26x + x2 = 51 + -51

Combine like terms: 51 + -51 = 0
133 + -26x + x2 = 0

Factor a trinomial.
(7 + -1x)(19 + -1x) = 0

Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Subproblem 2
Set the factor '(19 + -1x)' equal to zero and attempt to solve:

Simplifying
19 + -1x = 0

Solving
19 + -1x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 0 + -19
-1x = 0 + -19

Combine like terms: 0 + -19 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19
Solution
x = {7, 19}