solve for x: z+xyz=w

Please use the title of the subject so that a teacher will know what you need help with.

Guru's formalities aside,

z+xyz=w
factor z.
z(1+xy)=w
divide by z
(1+xy)=w/z
subtract 1.
xy=(w/z)-1
divide by y
x=(w/yz)-(1/y)

And that's your answer! :)

To solve for x in the equation z + xyz = w, we need to isolate x on one side of the equation.

Step 1: Move all the terms containing x to one side of the equation.
Subtract z from both sides: xyz = w - z

Step 2: Divide both sides of the equation by yz to isolate x.
Divide both sides by yz: x = (w - z) / yz

Therefore, x = (w - z) / yz.

Note: In the given equation, we treat y and z as constants since they are not attached to x with any signs or operators.