x*(x+7)=228

Solution for x*(x+7)=228 equation:

Simplifying
x(x + 7) = 228

Reorder the terms:
x(7 + x) = 228
(7 * x + x * x) = 228
(7x + x2) = 228

Solving
7x + x2 = 228

Solving for variable 'x'.

Reorder the terms:
-228 + 7x + x2 = 228 + -228

Combine like terms: 228 + -228 = 0
-228 + 7x + x2 = 0

Factor a trinomial.
(-19 + -1x)(12 + -1x) = 0

Subproblem 1
Set the factor '(-19 + -1x)' equal to zero and attempt to solve:

Simplifying
-19 + -1x = 0

Solving
-19 + -1x = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1x = 0 + 19
-1x = 0 + 19

Combine like terms: 0 + 19 = 19
-1x = 19

Divide each side by '-1'.
x = -19

Simplifying
x = -19
Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-19, 12}