Solve 0.0525+j0.321=0.3253L

$$0.0525 + j 0.321 = 0.3253 L$$

Solve for L

$$L=\frac{3210j_{0}+525}{3253}$$

Steps for Solving Linear Equation

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

$$0.3253L=0.0525+j_{0}\times 0.321$$

The equation is in standard form.

$$0.3253L=\frac{321j_{0}}{1000}+0.0525$$

Divide both sides of the equation by 0.3253, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.3253L}{0.3253}=\frac{\frac{321j_{0}}{1000}+0.0525}{0.3253}$$

Dividing by 0.3253 undoes the multiplication by 0.3253.

$$L=\frac{\frac{321j_{0}}{1000}+0.0525}{0.3253}$$

Divide 0.0525+\frac{321j_{0}}{1000} by 0.3253 by multiplying 0.0525+\frac{321j_{0}}{1000} by the reciprocal of 0.3253.

$$L=\frac{3210j_{0}+525}{3253}$$

Solve for j_0

$$j_{0}=\frac{3253L}{3210}-\frac{35}{214}$$

Steps for Solving Linear Equation

Subtract 0.0525 from both sides.

$$j_{0}\times 0.321=0.3253L-0.0525$$

The equation is in standard form.

$$0.321j_{0}=\frac{3253L}{10000}-0.0525$$

Divide both sides of the equation by 0.321, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.321j_{0}}{0.321}=\frac{\frac{3253L}{10000}-0.0525}{0.321}$$

Dividing by 0.321 undoes the multiplication by 0.321.

$$j_{0}=\frac{\frac{3253L}{10000}-0.0525}{0.321}$$

Divide \frac{3253L}{10000}-0.0525 by 0.321 by multiplying \frac{3253L}{10000}-0.0525 by the reciprocal of 0.321.

$$j_{0}=\frac{3253L}{3210}-\frac{35}{214}$$