Solve z: 3z-52z = 25-5z

Evaluate

z \div 3 z - 52 z = 25 - 5 z

Find the domain

More Steps

z \div 3 z - 52 z = 25 - 5 z, z \neq = 0

Divide the terms

More Steps

\frac{1}{3} - 52 z = 25 - 5 z

Multiply both sides of the equation by LCM

(\frac{1}{3} - 52 z) \times 3 = (25 - 5 z) \times 3

Calculate

More Steps

1 - 156 z = (25 - 5 z) \times 3

Calculate

More Steps

1 - 156 z = 75 - 15 z

Move the expression to the left side

1 - 156 z + 15 z = 75

Move the expression to the right side

- 156 z + 15 z = 75 - 1

Add and subtract

More Steps

- 141 z = 75 - 1

Add and subtract

- 141 z = 74

Change the signs on both sides of the equation

141 z = - 74

Divide both sides

\frac{141 z}{141} = \frac{- 74}{141}

Divide the numbers

z = \frac{- 74}{141}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

z = - \frac{74}{141}

Check if the solution is in the defined range

z = - \frac{74}{141}, z \neq = 0

Solution

z = - \frac{74}{141}

Alternative Form

z \approx - 0.524823

Solve the equation