x*(x+4)=221

Solution for x*(x+4)=221 equation:

Simplifying
x(x + 4) = 221

Reorder the terms:
x(4 + x) = 221
(4 * x + x * x) = 221
(4x + x2) = 221

Solving
4x + x2 = 221

Solving for variable 'x'.

Reorder the terms:
-221 + 4x + x2 = 221 + -221

Combine like terms: 221 + -221 = 0
-221 + 4x + x2 = 0

Factor a trinomial.
(-17 + -1x)(13 + -1x) = 0

Subproblem 1
Set the factor '(-17 + -1x)' equal to zero and attempt to solve:

Simplifying
-17 + -1x = 0

Solving
-17 + -1x = 0

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

Add '17' to each side of the equation.
-17 + 17 + -1x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -1x = 0 + 17
-1x = 0 + 17

Combine like terms: 0 + 17 = 17
-1x = 17

Divide each side by '-1'.
x = -17

Simplifying
x = -17
Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {-17, 13}