Find All Complex Solutions theta=(-3pi)/4

$θ = \frac{- 3 π}{4}$

Step 1

Multiply each term by a factor of $1$ that will equate all the denominators. In this case, all terms need a denominator of $4$ .

$θ \cdot \frac{4}{4} = \frac{- 3 π}{4}$

Step 2

Multiply the expression by a factor of $1$ to create the least common denominator (LCD) of $4$ .

$θ \cdot 4$

Step 3

Move $4$ to the left of $θ$ .

$\frac{4 θ}{4} = \frac{- 3 π}{4}$

Step 4

Simplify $θ \cdot \frac{4}{4}$ .

Divide $4$ by $4$ .

$θ \cdot 1 = \frac{- 3 π}{4}$

Multiply $θ$ by $1$ .

$θ = \frac{- 3 π}{4}$

Step 5

Move the negative in front of the fraction.

$θ = - \frac{3 π}{4}$