=(x+5)(x+6)

Solution for =(x+5)(x+6) equation:

Simplifying
0 = (x + 5)(x + 6)

Reorder the terms:
0 = (5 + x)(x + 6)

Reorder the terms:
0 = (5 + x)(6 + x)

Multiply (5 + x) * (6 + x)
0 = (5(6 + x) + x(6 + x))
0 = ((6 * 5 + x * 5) + x(6 + x))
0 = ((30 + 5x) + x(6 + x))
0 = (30 + 5x + (6 * x + x * x))
0 = (30 + 5x + (6x + x2))

Combine like terms: 5x + 6x = 11x
0 = (30 + 11x + x2)

Solving
0 = 30 + 11x + x2

Solving for variable 'x'.

Combine like terms: 0 + -30 = -30
-30 + -11x + -1x2 = 30 + 11x + x2 + -30 + -11x + -1x2

Reorder the terms:
-30 + -11x + -1x2 = 30 + -30 + 11x + -11x + x2 + -1x2

Combine like terms: 30 + -30 = 0
-30 + -11x + -1x2 = 0 + 11x + -11x + x2 + -1x2
-30 + -11x + -1x2 = 11x + -11x + x2 + -1x2

Combine like terms: 11x + -11x = 0
-30 + -11x + -1x2 = 0 + x2 + -1x2
-30 + -11x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-30 + -11x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(30 + 11x + x2) = 0

Factor a trinomial.
-1((6 + x)(5 + x)) = 0

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

Simplifying
6 + x = 0

Solving
6 + x = 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 + x = 0 + -6

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

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

Simplifying
x = -6
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {-6, -5}