X(X-8)=1280

Solution for X(X-8)=1280 equation:

Simplifying
X(X + -8) = 1280

Reorder the terms:
X(-8 + X) = 1280
(-8 * X + X * X) = 1280
(-8X + X2) = 1280

Solving
-8X + X2 = 1280

Solving for variable 'X'.

Reorder the terms:
-1280 + -8X + X2 = 1280 + -1280

Combine like terms: 1280 + -1280 = 0
-1280 + -8X + X2 = 0

Factor a trinomial.
(-32 + -1X)(40 + -1X) = 0

Subproblem 1
Set the factor '(-32 + -1X)' equal to zero and attempt to solve:

Simplifying
-32 + -1X = 0

Solving
-32 + -1X = 0

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

Add '32' to each side of the equation.
-32 + 32 + -1X = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -1X = 0 + 32
-1X = 0 + 32

Combine like terms: 0 + 32 = 32
-1X = 32

Divide each side by '-1'.
X = -32

Simplifying
X = -32
Subproblem 2
Set the factor '(40 + -1X)' equal to zero and attempt to solve:

Simplifying
40 + -1X = 0

Solving
40 + -1X = 0

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

Add '-40' to each side of the equation.
40 + -40 + -1X = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -1X = 0 + -40
-1X = 0 + -40

Combine like terms: 0 + -40 = -40
-1X = -40

Divide each side by '-1'.
X = 40

Simplifying
X = 40
Solution
X = {-32, 40}