(x*x)-(8*x)=1280

Solution for (x*x)-(8*x)=1280 equation:

Simplifying
(x * x) + -1(8x) = 1280

Multiply x * x
(x2) + -1(8x) = 1280
x2 + -1(8x) = 1280

Remove parenthesis around (8x)
x2 + -1 * 8x = 1280

Multiply -1 * 8
x2 + -8x = 1280

Reorder the terms:
-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}