x(x+2)=224

Solution for x(x+2)=224 equation:

Simplifying
x(x + 2) = 224

Reorder the terms:
x(2 + x) = 224
(2 * x + x * x) = 224
(2x + x2) = 224

Solving
2x + x2 = 224

Solving for variable 'x'.

Reorder the terms:
-224 + 2x + x2 = 224 + -224

Combine like terms: 224 + -224 = 0
-224 + 2x + x2 = 0

Factor a trinomial.
(-16 + -1x)(14 + -1x) = 0

Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16
Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {-16, 14}