x^2+13x=1764

Solution for x^2+13x=1764 equation:

Simplifying
x2 + 13x = 1764

Reorder the terms:
13x + x2 = 1764

Solving
13x + x2 = 1764

Solving for variable 'x'.

Reorder the terms:
-1764 + 13x + x2 = 1764 + -1764

Combine like terms: 1764 + -1764 = 0
-1764 + 13x + x2 = 0

Factor a trinomial.
(-49 + -1x)(36 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(36 + -1x)' equal to zero and attempt to solve:

Simplifying
36 + -1x = 0

Solving
36 + -1x = 0

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

Add '-36' to each side of the equation.
36 + -36 + -1x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1x = 0 + -36
-1x = 0 + -36

Combine like terms: 0 + -36 = -36
-1x = -36

Divide each side by '-1'.
x = 36

Simplifying
x = 36
Solution
x = {-49, 36}