960=x*(x+2)

Solution for 960=x*(x+2) equation:

Simplifying
960 = x(x + 2)

Reorder the terms:
960 = x(2 + x)
960 = (2 * x + x * x)
960 = (2x + x2)

Solving
960 = 2x + x2

Solving for variable 'x'.

Reorder the terms:
960 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
960 + -2x + -1x2 = 0 + x2 + -1x2
960 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
960 + -2x + -1x2 = 0

Factor a trinomial.
(30 + -1x)(32 + x) = 0

Subproblem 1
Set the factor '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30
Subproblem 2
Set the factor '(32 + x)' equal to zero and attempt to solve:

Simplifying
32 + x = 0

Solving
32 + x = 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 + x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + x = 0 + -32
x = 0 + -32

Combine like terms: 0 + -32 = -32
x = -32

Simplifying
x = -32
Solution
x = {30, -32}