Solve for z 3-2z=1/10

$3 - 2 z = \frac{1}{10}$

Step 1

Move all terms not containing $z$ to the right side of the equation.

Subtract $3$ from both sides of the equation.

$- 2 z = \frac{1}{10} - 3$

To write $- 3$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$- 2 z = \frac{1}{10} - 3 \cdot \frac{10}{10}$

Combine $- 3$ and $\frac{10}{10}$ .

$- 2 z = \frac{1}{10} + \frac{- 3 \cdot 10}{10}$

Combine the numerators over the common denominator.

$- 2 z = \frac{1 - 3 \cdot 10}{10}$

Simplify the numerator.

Multiply $- 3$ by $10$ .

$- 2 z = \frac{1 - 30}{10}$

Subtract $30$ from $1$ .

$- 2 z = \frac{- 29}{10}$

Move the negative in front of the fraction.

$- 2 z = - \frac{29}{10}$

Step 2

Divide each term in $- 2 z = - \frac{29}{10}$ by $- 2$ and simplify.

Divide each term in $- 2 z = - \frac{29}{10}$ by $- 2$ .

$\frac{- 2 z}{- 2} = \frac{- \frac{29}{10}}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 z}{- 2} = \frac{- \frac{29}{10}}{- 2}$

Divide $z$ by $1$ .

$z = \frac{- \frac{29}{10}}{- 2}$

Simplify the right side.

Multiply the numerator by the reciprocal of the denominator.

$z = - \frac{29}{10} \cdot \frac{1}{- 2}$

Move the negative in front of the fraction.

$z = - \frac{29}{10} (- \frac{1}{2})$

Multiply $- \frac{29}{10} (- \frac{1}{2})$ .

Multiply $- 1$ by $- 1$ .

$z = 1 (\frac{29}{10}) \frac{1}{2}$

Multiply $\frac{29}{10}$ by $1$ .

$z = \frac{29}{10} \cdot \frac{1}{2}$

Multiply $\frac{29}{10}$ by $\frac{1}{2}$ .

$z = \frac{29}{10 \cdot 2}$

Multiply $10$ by $2$ .

$z = \frac{29}{20}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$z = \frac{29}{20}$

Decimal Form:

$z = 1.45$

Mixed Number Form:

$z = 1 \frac{9}{20}$

Solve for z 3-2z=1/10

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