Solve for z -0.2=1.8+z/0.2

$- 0.2 = 1.8 + \frac{z}{0.2}$

Rewrite the equation as $1.8 + \frac{z}{0.2} = - 0.2$ .

$1.8 + \frac{z}{0.2} = - 0.2$

Simplify each term.

Multiply by $1$ .

$1.8 + \frac{1 z}{0.2} = - 0.2$

Factor $0.2$ out of $0.2$ .

$1.8 + \frac{1 z}{0.2 (1)} = - 0.2$

Separate fractions.

$1.8 + \frac{1}{0.2} \cdot \frac{z}{1} = - 0.2$

Divide $1$ by $0.2$ .

$1.8 + 5 \frac{z}{1} = - 0.2$

Divide $z$ by $1$ .

$1.8 + 5 z = - 0.2$

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

Subtract $1.8$ from both sides of the equation.

$5 z = - 0.2 - 1.8$

Subtract $1.8$ from $- 0.2$ .

$5 z = - 2$

Divide each term in $5 z = - 2$ by $5$ and simplify.

Divide each term in $5 z = - 2$ by $5$ .

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

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

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

Divide $z$ by $1$ .

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

Simplify the right side.

Cancel the common factor of $- 2$ and $5$ .

Rewrite $- 2$ as $1 (- 2)$ .

$z = \frac{1 (- 2)}{5}$

Cancel the common factors.

Rewrite $5$ as $1 (5)$ .

$z = \frac{1 \cdot - 2}{1 \cdot 5}$

Cancel the common factor.

$z = \frac{1 \cdot - 2}{1 \cdot 5}$

Rewrite the expression.

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

Move the negative in front of the fraction.

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$z = - 0.4$

Solve for z -0.2=1.8+z/0.2

Related Questions

Support LCMGCF.com by disabling your adblocker.