x(x+8)=308

Solution for x(x+8)=308 equation:

Simplifying
x(x + 8) = 308

Reorder the terms:
x(8 + x) = 308
(8 * x + x * x) = 308
(8x + x2) = 308

Solving
8x + x2 = 308

Solving for variable 'x'.

Reorder the terms:
-308 + 8x + x2 = 308 + -308

Combine like terms: 308 + -308 = 0
-308 + 8x + x2 = 0

Factor a trinomial.
(-22 + -1x)(14 + -1x) = 0

Subproblem 1
Set the factor '(-22 + -1x)' equal to zero and attempt to solve:

Simplifying
-22 + -1x = 0

Solving
-22 + -1x = 0

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

Add '22' to each side of the equation.
-22 + 22 + -1x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -1x = 0 + 22
-1x = 0 + 22

Combine like terms: 0 + 22 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22
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 = {-22, 14}