(x)(x+37)=7140

Solution for (x)(x+37)=7140 equation:

Simplifying
(x)(x + 37) = 7140

Reorder the terms:
x(37 + x) = 7140
(37 * x + x * x) = 7140
(37x + x2) = 7140

Solving
37x + x2 = 7140

Solving for variable 'x'.

Reorder the terms:
-7140 + 37x + x2 = 7140 + -7140

Combine like terms: 7140 + -7140 = 0
-7140 + 37x + x2 = 0

Factor a trinomial.
(-105 + -1x)(68 + -1x) = 0

Subproblem 1
Set the factor '(-105 + -1x)' equal to zero and attempt to solve:

Simplifying
-105 + -1x = 0

Solving
-105 + -1x = 0

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

Add '105' to each side of the equation.
-105 + 105 + -1x = 0 + 105

Combine like terms: -105 + 105 = 0
0 + -1x = 0 + 105
-1x = 0 + 105

Combine like terms: 0 + 105 = 105
-1x = 105

Divide each side by '-1'.
x = -105

Simplifying
x = -105
Subproblem 2
Set the factor '(68 + -1x)' equal to zero and attempt to solve:

Simplifying
68 + -1x = 0

Solving
68 + -1x = 0

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

Add '-68' to each side of the equation.
68 + -68 + -1x = 0 + -68

Combine like terms: 68 + -68 = 0
0 + -1x = 0 + -68
-1x = 0 + -68

Combine like terms: 0 + -68 = -68
-1x = -68

Divide each side by '-1'.
x = 68

Simplifying
x = 68
Solution
x = {-105, 68}