Solve 2= 5/(2q) (2q)/(q 1)

Evaluate

2 = \frac{5}{2 q} \times \frac{2 q}{q \times 1}

Find the domain

More Steps

2 = \frac{5}{2 q} \times \frac{2 q}{q \times 1}, q \neq = 0

Simplify

More Steps

2 = \frac{5}{q}

Swap the sides of the equation

\frac{5}{q} = 2

Cross multiply

5 = q \times 2

Simplify the equation

5 = 2 q

Swap the sides of the equation

2 q = 5

Divide both sides

\frac{2 q}{2} = \frac{5}{2}

Divide the numbers

q = \frac{5}{2}

Check if the solution is in the defined range

q = \frac{5}{2}, q \neq = 0

Solution

q = \frac{5}{2}

Alternative Form

q = 2.5

Solve the equation