(x^2)+x=3540

Solution for (x^2)+x=3540 equation:

Simplifying
(x2) + x = 3540
x2 + x = 3540

Reorder the terms:
x + x2 = 3540

Solving
x + x2 = 3540

Solving for variable 'x'.

Reorder the terms:
-3540 + x + x2 = 3540 + -3540

Combine like terms: 3540 + -3540 = 0
-3540 + x + x2 = 0

Factor a trinomial.
(-60 + -1x)(59 + -1x) = 0

Subproblem 1
Set the factor '(-60 + -1x)' equal to zero and attempt to solve:

Simplifying
-60 + -1x = 0

Solving
-60 + -1x = 0

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

Add '60' to each side of the equation.
-60 + 60 + -1x = 0 + 60

Combine like terms: -60 + 60 = 0
0 + -1x = 0 + 60
-1x = 0 + 60

Combine like terms: 0 + 60 = 60
-1x = 60

Divide each side by '-1'.
x = -60

Simplifying
x = -60
Subproblem 2
Set the factor '(59 + -1x)' equal to zero and attempt to solve:

Simplifying
59 + -1x = 0

Solving
59 + -1x = 0

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

Add '-59' to each side of the equation.
59 + -59 + -1x = 0 + -59

Combine like terms: 59 + -59 = 0
0 + -1x = 0 + -59
-1x = 0 + -59

Combine like terms: 0 + -59 = -59
-1x = -59

Divide each side by '-1'.
x = 59

Simplifying
x = 59
Solution
x = {-60, 59}