160=x(6+x)

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

Simplifying
160 = x(6 + x)
160 = (6 * x + x * x)
160 = (6x + x2)

Solving
160 = 6x + x2

Solving for variable 'x'.

Reorder the terms:
160 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
160 + -6x + -1x2 = 0 + x2 + -1x2
160 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
160 + -6x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(16 + x) = 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 + x)' equal to zero and attempt to solve:

Simplifying
16 + x = 0

Solving
16 + x = 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 + x = 0 + -16

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

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

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