x^2+113x+3136=0

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

Simplifying
x2 + 113x + 3136 = 0

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

Solving
3136 + 113x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(64 + x)(49 + x) = 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 + x)' equal to zero and attempt to solve:

Simplifying
49 + x = 0

Solving
49 + x = 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 + x = 0 + -49

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

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

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