Solve for t g(t)=-9t-4

$g (t) = - 9 t - 4$

Step 1

Add $9 t$ to both sides of the equation.

$g t + 9 t = - 4$

Step 2

Factor $t$ out of $g t + 9 t$ .

Factor $t$ out of $g t$ .

$t g + 9 t = - 4$

Factor $t$ out of $9 t$ .

$t g + t \cdot 9 = - 4$

Factor $t$ out of $t g + t \cdot 9$ .

$t (g + 9) = - 4$

Step 3

Divide each term in $t (g + 9) = - 4$ by $g + 9$ and simplify.

Divide each term in $t (g + 9) = - 4$ by $g + 9$ .

$\frac{t (g + 9)}{g + 9} = \frac{- 4}{g + 9}$

Simplify the left side.

Cancel the common factor of $g + 9$ .

Cancel the common factor.

$\frac{t (g + 9)}{g + 9} = \frac{- 4}{g + 9}$

Divide $t$ by $1$ .

$t = \frac{- 4}{g + 9}$

Simplify the right side.

Move the negative in front of the fraction.

$t = - \frac{4}{g + 9}$