x^2-156x+3059=0

Solution for x^2-156x+3059=0 equation:

Simplifying
x2 + -156x + 3059 = 0

Reorder the terms:
3059 + -156x + x2 = 0

Solving
3059 + -156x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(23 + -1x)(133 + -1x) = 0

Subproblem 1
Set the factor '(23 + -1x)' equal to zero and attempt to solve:

Simplifying
23 + -1x = 0

Solving
23 + -1x = 0

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

Add '-23' to each side of the equation.
23 + -23 + -1x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -1x = 0 + -23
-1x = 0 + -23

Combine like terms: 0 + -23 = -23
-1x = -23

Divide each side by '-1'.
x = 23

Simplifying
x = 23
Subproblem 2
Set the factor '(133 + -1x)' equal to zero and attempt to solve:

Simplifying
133 + -1x = 0

Solving
133 + -1x = 0

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

Add '-133' to each side of the equation.
133 + -133 + -1x = 0 + -133

Combine like terms: 133 + -133 = 0
0 + -1x = 0 + -133
-1x = 0 + -133

Combine like terms: 0 + -133 = -133
-1x = -133

Divide each side by '-1'.
x = 133

Simplifying
x = 133
Solution
x = {23, 133}