Trigonometry Examples

$3 (a - b) = \frac{5 c}{d}$

Step 1

Divide each term in $3 (a - b) = \frac{5 c}{d}$ by $3$ and simplify.

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Step 1.1

Divide each term in $3 (a - b) = \frac{5 c}{d}$ by $3$ .

$\frac{3 (a - b)}{3} = \frac{\frac{5 c}{d}}{3}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $3$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{3 (a - b)}{3} = \frac{\frac{5 c}{d}}{3}$

Step 1.2.1.2

Divide $a - b$ by $1$ .

$a - b = \frac{\frac{5 c}{d}}{3}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Multiply the numerator by the reciprocal of the denominator.

$a - b = \frac{5 c}{d} \cdot \frac{1}{3}$

Step 1.3.2

Multiply $\frac{5 c}{d}$ by $\frac{1}{3}$ .

$a - b = \frac{5 c}{d \cdot 3}$

Step 1.3.3

Move $3$ to the left of $d$ .

$a - b = \frac{5 c}{3 d}$

Step 2

Add $b$ to both sides of the equation.

$a = \frac{5 c}{3 d} + b$