x(x+2)=1443

Solution for x(x+2)=1443 equation:

Simplifying
x(x + 2) = 1443

Reorder the terms:
x(2 + x) = 1443
(2 * x + x * x) = 1443
(2x + x2) = 1443

Solving
2x + x2 = 1443

Solving for variable 'x'.

Reorder the terms:
-1443 + 2x + x2 = 1443 + -1443

Combine like terms: 1443 + -1443 = 0
-1443 + 2x + x2 = 0

Factor a trinomial.
(-39 + -1x)(37 + -1x) = 0

Subproblem 1
Set the factor '(-39 + -1x)' equal to zero and attempt to solve:

Simplifying
-39 + -1x = 0

Solving
-39 + -1x = 0

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

Add '39' to each side of the equation.
-39 + 39 + -1x = 0 + 39

Combine like terms: -39 + 39 = 0
0 + -1x = 0 + 39
-1x = 0 + 39

Combine like terms: 0 + 39 = 39
-1x = 39

Divide each side by '-1'.
x = -39

Simplifying
x = -39
Subproblem 2
Set the factor '(37 + -1x)' equal to zero and attempt to solve:

Simplifying
37 + -1x = 0

Solving
37 + -1x = 0

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

Add '-37' to each side of the equation.
37 + -37 + -1x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -1x = 0 + -37
-1x = 0 + -37

Combine like terms: 0 + -37 = -37
-1x = -37

Divide each side by '-1'.
x = 37

Simplifying
x = 37
Solution
x = {-39, 37}