X*(X+8)=560

Solution for X*(X+8)=560 equation:

Simplifying
X(X + 8) = 560

Reorder the terms:
X(8 + X) = 560
(8 * X + X * X) = 560
(8X + X2) = 560

Solving
8X + X2 = 560

Solving for variable 'X'.

Reorder the terms:
-560 + 8X + X2 = 560 + -560

Combine like terms: 560 + -560 = 0
-560 + 8X + X2 = 0

Factor a trinomial.
(-28 + -1X)(20 + -1X) = 0

Subproblem 1
Set the factor '(-28 + -1X)' equal to zero and attempt to solve:

Simplifying
-28 + -1X = 0

Solving
-28 + -1X = 0

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

Add '28' to each side of the equation.
-28 + 28 + -1X = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -1X = 0 + 28
-1X = 0 + 28

Combine like terms: 0 + 28 = 28
-1X = 28

Divide each side by '-1'.
X = -28

Simplifying
X = -28
Subproblem 2
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
Solution
X = {-28, 20}