Solve (5-2z)/(2z-5)

Question

Simplify the expression

- 1

Evaluate

\frac{5 - 2 z}{2 z - 5}

Calculate

\frac{- ( 2 z - 5 )}{2 z - 5}

Solution

- 1

Show Solution

z = \frac{5}{2}

Evaluate

\frac{5 - 2 z}{2 z - 5}

To find the excluded values,set the denominators equal to 0

2 z - 5 = 0

Move the constant to the right-hand side and change its sign

2 z = 0 + 5

Removing 0 doesn't change the value,so remove it from the expression

2 z = 5

Divide both sides

\frac{2 z}{2} = \frac{5}{2}

Solution

z = \frac{5}{2}

Show Solution

z \in \emptyset

Evaluate

\frac{5 - 2 z}{2 z - 5}

To find the roots of the expression,set the expression equal to 0

\frac{5 - 2 z}{2 z - 5} = 0

Find the domain

More Steps

Evaluate

2 z - 5 \neq = 0

Move the constant to the right side

2 z \neq = 0 + 5

Removing 0 doesn't change the value,so remove it from the expression

2 z \neq = 5

Divide both sides

\frac{2 z}{2} \neq = \frac{5}{2}

Divide the numbers

z \neq = \frac{5}{2}

\frac{5 - 2 z}{2 z - 5} = 0, z \neq = \frac{5}{2}

Calculate

\frac{5 - 2 z}{2 z - 5} = 0

Cross multiply

5 - 2 z = (2 z - 5) \times 0

Simplify the equation

5 - 2 z = 0

Move the constant to the right side

- 2 z = 0 - 5

Removing 0 doesn't change the value,so remove it from the expression

- 2 z = - 5

Change the signs on both sides of the equation

2 z = 5

Divide both sides

\frac{2 z}{2} = \frac{5}{2}

Divide the numbers

z = \frac{5}{2}

Check if the solution is in the defined range

z = \frac{5}{2}, z \neq = \frac{5}{2}

Solution

z \in \emptyset

Show Solution