66=(x+5)(x)

Solution for 66=(x+5)(x) equation:

Simplifying
66 = (x + 5)(x)

Reorder the terms:
66 = (5 + x)(x)

Reorder the terms for easier multiplication:
66 = x(5 + x)
66 = (5 * x + x * x)
66 = (5x + x2)

Solving
66 = 5x + x2

Solving for variable 'x'.

Reorder the terms:
66 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
66 + -5x + -1x2 = 0 + x2 + -1x2
66 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
66 + -5x + -1x2 = 0

Factor a trinomial.
(6 + -1x)(11 + x) = 0

Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

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

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

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {6, -11}