Solve 980=x+0.4x(+0.4x0*4)

$$980 = x+0.4x(+0.4x0 \cdot 4)$$

Solve for x

$$x=\frac{980}{\frac{16x_{0}}{25}+1}$$

$$x_{0}\neq -\frac{25}{16}$$

Steps for Solving Linear Equation

Multiply 0.4 and 0.4 to get 0.16.

$$980=x+0.16xx_{0}\times 4$$

Multiply 0.16 and 4 to get 0.64.

$$980=x+0.64xx_{0}$$

Swap sides so that all variable terms are on the left hand side.

$$x+0.64xx_{0}=980$$

Combine all terms containing x.

$$\left(1+0.64x_{0}\right)x=980$$

The equation is in standard form.

$$\left(\frac{16x_{0}}{25}+1\right)x=980$$

Divide both sides by 1+0.64x_{0}.

$$\frac{\left(\frac{16x_{0}}{25}+1\right)x}{\frac{16x_{0}}{25}+1}=\frac{980}{\frac{16x_{0}}{25}+1}$$

Dividing by 1+0.64x_{0} undoes the multiplication by 1+0.64x_{0}.

$$x=\frac{980}{\frac{16x_{0}}{25}+1}$$

Solve for x_0

$$x_{0}=-1.5625+\frac{6125}{4x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply 0.4 and 0.4 to get 0.16.

$$980=x+0.16xx_{0}\times 4$$

Multiply 0.16 and 4 to get 0.64.

$$980=x+0.64xx_{0}$$

Swap sides so that all variable terms are on the left hand side.

$$x+0.64xx_{0}=980$$

Subtract x from both sides.

$$0.64xx_{0}=980-x$$

The equation is in standard form.

$$\frac{16x}{25}x_{0}=980-x$$

Divide both sides by 0.64x.

$$\frac{25\times \frac{16x}{25}x_{0}}{16x}=\frac{25\left(980-x\right)}{16x}$$

Dividing by 0.64x undoes the multiplication by 0.64x.

$$x_{0}=\frac{25\left(980-x\right)}{16x}$$

Divide 980-x by 0.64x.

$$x_{0}=-1.5625+\frac{6125}{4x}$$