104=(x-2)(x+3)

Solution for 104=(x-2)(x+3) equation:

Simplifying
104 = (x + -2)(x + 3)

Reorder the terms:
104 = (-2 + x)(x + 3)

Reorder the terms:
104 = (-2 + x)(3 + x)

Multiply (-2 + x) * (3 + x)
104 = (-2(3 + x) + x(3 + x))
104 = ((3 * -2 + x * -2) + x(3 + x))
104 = ((-6 + -2x) + x(3 + x))
104 = (-6 + -2x + (3 * x + x * x))
104 = (-6 + -2x + (3x + x2))

Combine like terms: -2x + 3x = 1x
104 = (-6 + 1x + x2)

Solving
104 = -6 + 1x + x2

Solving for variable 'x'.

Combine like terms: 104 + 6 = 110
110 + -1x + -1x2 = -6 + 1x + x2 + 6 + -1x + -1x2

Reorder the terms:
110 + -1x + -1x2 = -6 + 6 + 1x + -1x + x2 + -1x2

Combine like terms: -6 + 6 = 0
110 + -1x + -1x2 = 0 + 1x + -1x + x2 + -1x2
110 + -1x + -1x2 = 1x + -1x + x2 + -1x2

Combine like terms: 1x + -1x = 0
110 + -1x + -1x2 = 0 + x2 + -1x2
110 + -1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
110 + -1x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(11 + 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 '(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 = {10, -11}