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.
(-37 + -1x)(39 + -1x) = 0

Subproblem 1
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
Subproblem 2
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
Solution
x = {-37, 39}