Basic Math Examples

$s - 3 t = r t$

Step 1

Subtract $r t$ from both sides of the equation.

$s - 3 t - r t = 0$

Step 2

Subtract $s$ from both sides of the equation.

$- 3 t - r t = - s$

Step 3

Factor $t$ out of $- 3 t - r t$ .

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Step 3.1

Factor $t$ out of $- 3 t$ .

$t \cdot - 3 - r t = - s$

Step 3.2

Factor $t$ out of $- r t$ .

$t \cdot - 3 + t (- r) = - s$

Step 3.3

Factor $t$ out of $t \cdot - 3 + t (- r)$ .

$t (- 3 - r) = - s$

Step 4

Divide each term in $t (- 3 - r) = - s$ by $- 3 - r$ and simplify.

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Step 4.1

Divide each term in $t (- 3 - r) = - s$ by $- 3 - r$ .

$\frac{t (- 3 - r)}{- 3 - r} = \frac{- s}{- 3 - r}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 3 - r$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{t (- 3 - r)}{- 3 - r} = \frac{- s}{- 3 - r}$

Step 4.2.1.2

Divide $t$ by $1$ .

$t = \frac{- s}{- 3 - r}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$t = - \frac{s}{- 3 - r}$

Step 4.3.2

Rewrite $- 3$ as $- 1 (3)$ .

$t = - \frac{s}{- 1 (3) - r}$

Step 4.3.3

Factor $- 1$ out of $- r$ .

$t = - \frac{s}{- 1 (3) - (r)}$

Step 4.3.4

Factor $- 1$ out of $- 1 (3) - (r)$ .

$t = - \frac{s}{- 1 (3 + r)}$

Step 4.3.5

Simplify the expression.

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Step 4.3.5.1

Move the negative in front of the fraction.

$t = - - \frac{s}{3 + r}$

Step 4.3.5.2

Multiply $- 1$ by $- 1$ .

$t = 1 \frac{s}{3 + r}$

Step 4.3.5.3

Multiply $\frac{s}{3 + r}$ by $1$ .

$t = \frac{s}{3 + r}$