x(x-4)=320

Solution for x(x-4)=320 equation:

Simplifying
x(x + -4) = 320

Reorder the terms:
x(-4 + x) = 320
(-4 * x + x * x) = 320
(-4x + x2) = 320

Solving
-4x + x2 = 320

Solving for variable 'x'.

Reorder the terms:
-320 + -4x + x2 = 320 + -320

Combine like terms: 320 + -320 = 0
-320 + -4x + x2 = 0

Factor a trinomial.
(-16 + -1x)(20 + -1x) = 0

Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16
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 = {-16, 20}