42=(2x+8)(w)

Solution for 42=(2x+8)(w) equation:

Simplifying
42 = (2x + 8)(w)

Reorder the terms:
42 = (8 + 2x)(w)

Reorder the terms for easier multiplication:
42 = w(8 + 2x)
42 = (8 * w + 2x * w)
42 = (8w + 2wx)

Solving
42 = 8w + 2wx

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
42 + -8w = 8w + -8w + 2wx

Combine like terms: 8w + -8w = 0
42 + -8w = 0 + 2wx
42 + -8w = 2wx

Add '-2wx' to each side of the equation.
42 + -8w + -2wx = 2wx + -2wx

Combine like terms: 2wx + -2wx = 0
42 + -8w + -2wx = 0

Add '-42' to each side of the equation.
42 + -8w + -42 + -2wx = 0 + -42

Reorder the terms:
42 + -42 + -8w + -2wx = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -8w + -2wx = 0 + -42
-8w + -2wx = 0 + -42

Combine like terms: 0 + -42 = -42
-8w + -2wx = -42

Reorder the terms:
42 + -8w + -2wx = -42 + 42

Combine like terms: -42 + 42 = 0
42 + -8w + -2wx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(21 + -4w + -1wx) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(21 + -4w + -1wx)' equal to zero and attempt to solve:

Simplifying
21 + -4w + -1wx = 0

Solving
21 + -4w + -1wx = 0

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

Add '-21' to each side of the equation.
21 + -4w + -21 + -1wx = 0 + -21

Reorder the terms:
21 + -21 + -4w + -1wx = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -4w + -1wx = 0 + -21
-4w + -1wx = 0 + -21

Combine like terms: 0 + -21 = -21
-4w + -1wx = -21

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.