Solve for S S(t)=2t^2-3t+3

$S (t) = 2 t^{2} - 3 t + 3$

Divide each term in $S t = 2 t^{2} - 3 t + 3$ by $t$ .

$\frac{S t}{t} = \frac{2 t^{2}}{t} + \frac{- 3 t}{t} + \frac{3}{t}$

Simplify the left side.

Cancel the common factor of $t$ .

Cancel the common factor.

$\frac{S t}{t} = \frac{2 t^{2}}{t} + \frac{- 3 t}{t} + \frac{3}{t}$

Divide $S$ by $1$ .

$S = \frac{2 t^{2}}{t} + \frac{- 3 t}{t} + \frac{3}{t}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $t^{2}$ and $t$ .

Factor $t$ out of $2 t^{2}$ .

$S = \frac{t (2 t)}{t} + \frac{- 3 t}{t} + \frac{3}{t}$

Cancel the common factors.

Raise $t$ to the power of $1$ .

$S = \frac{t (2 t)}{t^{1}} + \frac{- 3 t}{t} + \frac{3}{t}$

Factor $t$ out of $t^{1}$ .

$S = \frac{t (2 t)}{t \cdot 1} + \frac{- 3 t}{t} + \frac{3}{t}$

Cancel the common factor.

$S = \frac{t (2 t)}{t \cdot 1} + \frac{- 3 t}{t} + \frac{3}{t}$

Rewrite the expression.

$S = \frac{2 t}{1} + \frac{- 3 t}{t} + \frac{3}{t}$

Divide $2 t$ by $1$ .

$S = 2 t + \frac{- 3 t}{t} + \frac{3}{t}$

Cancel the common factor of $t$ .

Cancel the common factor.

$S = 2 t + \frac{- 3 t}{t} + \frac{3}{t}$

Divide $- 3$ by $1$ .

$S = 2 t - 3 + \frac{3}{t}$