42=7x(z-3)

Solution for 42=7x(z-3) equation:

Simplifying
42 = 7x(z + -3)

Reorder the terms:
42 = 7x(-3 + z)
42 = (-3 * 7x + z * 7x)
42 = (-21x + 7xz)

Solving
42 = -21x + 7xz

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
42 + 21x = -21x + 21x + 7xz

Combine like terms: -21x + 21x = 0
42 + 21x = 0 + 7xz
42 + 21x = 7xz

Add '-7xz' to each side of the equation.
42 + 21x + -7xz = 7xz + -7xz

Combine like terms: 7xz + -7xz = 0
42 + 21x + -7xz = 0

Add '-42' to each side of the equation.
42 + 21x + -42 + -7xz = 0 + -42

Reorder the terms:
42 + -42 + 21x + -7xz = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 21x + -7xz = 0 + -42
21x + -7xz = 0 + -42

Combine like terms: 0 + -42 = -42
21x + -7xz = -42

Reorder the terms:
42 + 21x + -7xz = -42 + 42

Combine like terms: -42 + 42 = 0
42 + 21x + -7xz = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(6 + 3x + -1xz) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(6 + 3x + -1xz)' equal to zero and attempt to solve:

Simplifying
6 + 3x + -1xz = 0

Solving
6 + 3x + -1xz = 0

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

Add '-6' to each side of the equation.
6 + 3x + -6 + -1xz = 0 + -6

Reorder the terms:
6 + -6 + 3x + -1xz = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3x + -1xz = 0 + -6
3x + -1xz = 0 + -6

Combine like terms: 0 + -6 = -6
3x + -1xz = -6

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.