x(x+2)=728

Solution for x(x+2)=728 equation:

Simplifying
x(x + 2) = 728

Reorder the terms:
x(2 + x) = 728
(2 * x + x * x) = 728
(2x + x2) = 728

Solving
2x + x2 = 728

Solving for variable 'x'.

Reorder the terms:
-728 + 2x + x2 = 728 + -728

Combine like terms: 728 + -728 = 0
-728 + 2x + x2 = 0

Factor a trinomial.
(-28 + -1x)(26 + -1x) = 0

Subproblem 1
Set the factor '(-28 + -1x)' equal to zero and attempt to solve:

Simplifying
-28 + -1x = 0

Solving
-28 + -1x = 0

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

Add '28' to each side of the equation.
-28 + 28 + -1x = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -1x = 0 + 28
-1x = 0 + 28

Combine like terms: 0 + 28 = 28
-1x = 28

Divide each side by '-1'.
x = -28

Simplifying
x = -28
Subproblem 2
Set the factor '(26 + -1x)' equal to zero and attempt to solve:

Simplifying
26 + -1x = 0

Solving
26 + -1x = 0

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

Add '-26' to each side of the equation.
26 + -26 + -1x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -1x = 0 + -26
-1x = 0 + -26

Combine like terms: 0 + -26 = -26
-1x = -26

Divide each side by '-1'.
x = 26

Simplifying
x = 26
Solution
x = {-28, 26}