Solve 848*(1+0.0125x)=z(1-x)/z

$$848 \times (1+0.0125x)= \frac{ z(1-x) }{ z }$$

Solve for x

$$x = -\frac{4235}{58} = -73\frac{1}{58} \approx -73.017241379$$

Steps for Solving Linear Equation

Multiply both sides of the equation by z.

$$848\left(1+0.0125x\right)z=z\left(1-x\right)$$

Use the distributive property to multiply 848 by 1+0.0125x.

$$\left(848+10.6x\right)z=z\left(1-x\right)$$

Use the distributive property to multiply 848+10.6x by z.

$$848z+10.6xz=z\left(1-x\right)$$

Use the distributive property to multiply z by 1-x.

$$848z+10.6xz=z-zx$$

Add zx to both sides.

$$848z+10.6xz+zx=z$$

Combine 10.6xz and zx to get 11.6xz.

$$848z+11.6xz=z$$

Subtract 848z from both sides.

$$11.6xz=z-848z$$

Combine z and -848z to get -847z.

$$11.6xz=-847z$$

The equation is in standard form.

$$\frac{58z}{5}x=-847z$$

Divide both sides by 11.6z.

$$\frac{5\times \frac{58z}{5}x}{58z}=\frac{5\left(-847z\right)}{58z}$$

Dividing by 11.6z undoes the multiplication by 11.6z.

$$x=\frac{5\left(-847z\right)}{58z}$$

Divide -847z by 11.6z.

$$x=-\frac{4235}{58}$$

Solve for z

$$z\neq 0$$

Steps for Solving Linear Equation

Variable z cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by z.

$$848\left(1+0.0125x\right)z=z\left(1-x\right)$$

Use the distributive property to multiply 848 by 1+0.0125x.

$$\left(848+10.6x\right)z=z\left(1-x\right)$$

Use the distributive property to multiply 848+10.6x by z.

$$848z+10.6xz=z\left(1-x\right)$$

Use the distributive property to multiply z by 1-x.

$$848z+10.6xz=z-zx$$

Subtract z from both sides.

$$848z+10.6xz-z=-zx$$

Combine 848z and -z to get 847z.

$$847z+10.6xz=-zx$$

Add zx to both sides.

$$847z+10.6xz+zx=0$$

Combine 10.6xz and zx to get 11.6xz.

$$847z+11.6xz=0$$

Combine all terms containing z.

$$\left(847+11.6x\right)z=0$$

The equation is in standard form.

$$\left(\frac{58x}{5}+847\right)z=0$$

Divide 0 by 847+11.6x.

$$z=0$$

Variable z cannot be equal to 0.

$$z\in \emptyset$$