x(x+6)=280

Solution for x(x+6)=280 equation:

Simplifying
x(x + 6) = 280

Reorder the terms:
x(6 + x) = 280
(6 * x + x * x) = 280
(6x + x2) = 280

Solving
6x + x2 = 280

Solving for variable 'x'.

Reorder the terms:
-280 + 6x + x2 = 280 + -280

Combine like terms: 280 + -280 = 0
-280 + 6x + x2 = 0

Factor a trinomial.
(-20 + -1x)(14 + -1x) = 0

Subproblem 1
Set the factor '(-20 + -1x)' equal to zero and attempt to solve:

Simplifying
-20 + -1x = 0

Solving
-20 + -1x = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = 0 + 20
-1x = 0 + 20

Combine like terms: 0 + 20 = 20
-1x = 20

Divide each side by '-1'.
x = -20

Simplifying
x = -20
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 = {-20, 14}