Solve for t -2=5/2t

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

Step 1

Rewrite the equation as $\frac{5}{2} t = - 2$ .

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

Step 2

Multiply both sides of the equation by $\frac{2}{5}$ .

$\frac{2}{5} (\frac{5}{2} t) = \frac{2}{5} \cdot - 2$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{2}{5} (\frac{5}{2} t)$ .

Combine $\frac{5}{2}$ and $t$ .

$\frac{2}{5} \cdot \frac{5 t}{2} = \frac{2}{5} \cdot - 2$

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2}{5} \cdot \frac{5 t}{2} = \frac{2}{5} \cdot - 2$

Rewrite the expression.

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

Cancel the common factor of $5$ .

Factor $5$ out of $5 t$ .

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

Cancel the common factor.

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

Rewrite the expression.

$t = \frac{2}{5} \cdot - 2$

Simplify the right side.

Simplify $\frac{2}{5} \cdot - 2$ .

Multiply $\frac{2}{5} \cdot - 2$ .

Combine $\frac{2}{5}$ and $- 2$ .

$t = \frac{2 \cdot - 2}{5}$

Multiply $2$ by $- 2$ .

$t = \frac{- 4}{5}$

Move the negative in front of the fraction.

$t = - \frac{4}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$t = - \frac{4}{5}$

Decimal Form:

$t = - 0.8$