x(x-6)=160

Solution for x(x-6)=160 equation:

Simplifying
x(x + -6) = 160

Reorder the terms:
x(-6 + x) = 160
(-6 * x + x * x) = 160
(-6x + x2) = 160

Solving
-6x + x2 = 160

Solving for variable 'x'.

Reorder the terms:
-160 + -6x + x2 = 160 + -160

Combine like terms: 160 + -160 = 0
-160 + -6x + x2 = 0

Factor a trinomial.
(-10 + -1x)(16 + -1x) = 0

Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10
Subproblem 2
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
Solution
x = {-10, 16}