2x(z-1)+8x=

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Solution for 2x(z-1)+8x= equation:


Simplifying
2x(z + -1) + 8x = 0

Reorder the terms:
2x(-1 + z) + 8x = 0
(-1 * 2x + z * 2x) + 8x = 0
(-2x + 2xz) + 8x = 0

Reorder the terms:
-2x + 8x + 2xz = 0

Combine like terms: -2x + 8x = 6x
6x + 2xz = 0

Solving
6x + 2xz = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '2x'.
2x(3 + z) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(3 + z)' equal to zero and attempt to solve: Simplifying 3 + z = 0 Solving 3 + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + z = 0 + -3 z = 0 + -3 Combine like terms: 0 + -3 = -3 z = -3 Add '-1z' to each side of the equation. z + -1z = -3 + -1z Combine like terms: z + -1z = 0 0 = -3 + -1z Simplifying 0 = -3 + -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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