-x^2+138x-4761=0

Solution for -x^2+138x-4761=0 equation:

Simplifying
-1x2 + 138x + -4761 = 0

Reorder the terms:
-4761 + 138x + -1x2 = 0

Solving
-4761 + 138x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-69 + x)(69 + -1x) = 0

Subproblem 1
Set the factor '(-69 + x)' equal to zero and attempt to solve:

Simplifying
-69 + x = 0

Solving
-69 + x = 0

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

Add '69' to each side of the equation.
-69 + 69 + x = 0 + 69

Combine like terms: -69 + 69 = 0
0 + x = 0 + 69
x = 0 + 69

Combine like terms: 0 + 69 = 69
x = 69

Simplifying
x = 69
Subproblem 2
Set the factor '(69 + -1x)' equal to zero and attempt to solve:

Simplifying
69 + -1x = 0

Solving
69 + -1x = 0

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

Add '-69' to each side of the equation.
69 + -69 + -1x = 0 + -69

Combine like terms: 69 + -69 = 0
0 + -1x = 0 + -69
-1x = 0 + -69

Combine like terms: 0 + -69 = -69
-1x = -69

Divide each side by '-1'.
x = 69

Simplifying
x = 69
Solution
x = {69, 69}