-x^2+113*x-3136=0

Solution for -x^2+113*x-3136=0 equation:

Simplifying
-1x2 + 113x + -3136 = 0

Reorder the terms:
-3136 + 113x + -1x2 = 0

Solving
-3136 + 113x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-64 + x)(49 + -1x) = 0

Subproblem 1
Set the factor '(-64 + x)' equal to zero and attempt to solve:

Simplifying
-64 + x = 0

Solving
-64 + x = 0

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

Add '64' to each side of the equation.
-64 + 64 + x = 0 + 64

Combine like terms: -64 + 64 = 0
0 + x = 0 + 64
x = 0 + 64

Combine like terms: 0 + 64 = 64
x = 64

Simplifying
x = 64
Subproblem 2
Set the factor '(49 + -1x)' equal to zero and attempt to solve:

Simplifying
49 + -1x = 0

Solving
49 + -1x = 0

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

Add '-49' to each side of the equation.
49 + -49 + -1x = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -1x = 0 + -49
-1x = 0 + -49

Combine like terms: 0 + -49 = -49
-1x = -49

Divide each side by '-1'.
x = 49

Simplifying
x = 49
Solution
x = {64, 49}