306=(x)(x+1)

Solution for 306=(x)(x+1) equation:

Simplifying
306 = (x)(x + 1)

Reorder the terms:
306 = x(1 + x)
306 = (1 * x + x * x)
306 = (1x + x2)

Solving
306 = 1x + x2

Solving for variable 'x'.

Reorder the terms:
306 + -1x + -1x2 = 1x + -1x + x2 + -1x2

Combine like terms: 1x + -1x = 0
306 + -1x + -1x2 = 0 + x2 + -1x2
306 + -1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
306 + -1x + -1x2 = 0

Factor a trinomial.
(17 + -1x)(18 + x) = 0

Subproblem 1
Set the factor '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17
Subproblem 2
Set the factor '(18 + x)' equal to zero and attempt to solve:

Simplifying
18 + x = 0

Solving
18 + x = 0

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

Add '-18' to each side of the equation.
18 + -18 + x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + x = 0 + -18
x = 0 + -18

Combine like terms: 0 + -18 = -18
x = -18

Simplifying
x = -18
Solution
x = {17, -18}