Solve 5/6(3/10d)=1/4d

$$\frac { 5 } { 6 } ( \frac { 3 } { 10 } d ) = \frac { 1 } { 4 } d$$

Solve for d (complex solution)

$$d\in \mathrm{C}$$

Solution Steps

Multiply \frac{5}{6} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{6\times 10}d=\frac{1}{4}d$$

Do the multiplications in the fraction \frac{5\times 3}{6\times 10}.

$$\frac{15}{60}d=\frac{1}{4}d$$

Reduce the fraction \frac{15}{60} to lowest terms by extracting and canceling out 15.

$$\frac{1}{4}d=\frac{1}{4}d$$

Subtract \frac{1}{4}d from both sides.

$$\frac{1}{4}d-\frac{1}{4}d=0$$

Combine \frac{1}{4}d and -\frac{1}{4}d to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any d.

$$d\in \mathrm{C}$$

Solve for d

$$d\in \mathrm{R}$$

Solution Steps

Multiply \frac{5}{6} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{6\times 10}d=\frac{1}{4}d$$

Do the multiplications in the fraction \frac{5\times 3}{6\times 10}.

$$\frac{15}{60}d=\frac{1}{4}d$$

Reduce the fraction \frac{15}{60} to lowest terms by extracting and canceling out 15.

$$\frac{1}{4}d=\frac{1}{4}d$$

Subtract \frac{1}{4}d from both sides.

$$\frac{1}{4}d-\frac{1}{4}d=0$$

Combine \frac{1}{4}d and -\frac{1}{4}d to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any d.

$$d\in \mathrm{R}$$