(x^2)-59x+114=0

Solution for (x^2)-59x+114=0 equation:

Simplifying
(x2) + -59x + 114 = 0
x2 + -59x + 114 = 0

Reorder the terms:
114 + -59x + x2 = 0

Solving
114 + -59x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(57 + -1x) = 0

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(57 + -1x)' equal to zero and attempt to solve:

Simplifying
57 + -1x = 0

Solving
57 + -1x = 0

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

Add '-57' to each side of the equation.
57 + -57 + -1x = 0 + -57

Combine like terms: 57 + -57 = 0
0 + -1x = 0 + -57
-1x = 0 + -57

Combine like terms: 0 + -57 = -57
-1x = -57

Divide each side by '-1'.
x = 57

Simplifying
x = 57
Solution
x = {2, 57}