Basic Math Examples

$t = \frac{- 100 v ({(100)}^{2} - 4 \cdot 4 \cdot - 216)}{2 (4)}$

Step 1

Remove parentheses.

$t = \frac{- 100 v (100^{2} - 4 \cdot 4 \cdot - 216)}{2 (4)}$

Step 2

Simplify $\frac{- 100 v (100^{2} - 4 \cdot 4 \cdot - 216)}{2 (4)}$ .

Tap for more steps...

Step 2.1

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 2.1.1

Cancel the common factor of $- 100$ and $2$ .

Tap for more steps...

Step 2.1.1.1

Factor $2$ out of $- 100 v (100^{2} - 4 \cdot 4 \cdot - 216)$ .

$t = \frac{2 (- 50 v (100^{2} - 4 \cdot 4 \cdot - 216))}{2 (4)}$

Step 2.1.1.2

Cancel the common factors.

Tap for more steps...

Step 2.1.1.2.1

Cancel the common factor.

$t = \frac{2 (- 50 v (100^{2} - 4 \cdot 4 \cdot - 216))}{2 \cdot 4}$

Step 2.1.1.2.2

Rewrite the expression.

$t = \frac{- 50 v (100^{2} - 4 \cdot 4 \cdot - 216)}{4}$

Step 2.1.2

Cancel the common factor of $- 50$ and $4$ .

Tap for more steps...

Step 2.1.2.1

Factor $2$ out of $- 50 v (100^{2} - 4 \cdot 4 \cdot - 216)$ .

$t = \frac{2 (- 25 v (100^{2} - 4 \cdot 4 \cdot - 216))}{4}$

Step 2.1.2.2

Cancel the common factors.

Tap for more steps...

Step 2.1.2.2.1

Factor $2$ out of $4$ .

$t = \frac{2 (- 25 v (100^{2} - 4 \cdot 4 \cdot - 216))}{2 (2)}$

Step 2.1.2.2.2

Cancel the common factor.

$t = \frac{2 (- 25 v (100^{2} - 4 \cdot 4 \cdot - 216))}{2 \cdot 2}$

Step 2.1.2.2.3

Rewrite the expression.

$t = \frac{- 25 v (100^{2} - 4 \cdot 4 \cdot - 216)}{2}$

Step 2.2

Simplify the numerator.

Tap for more steps...

Step 2.2.1

Combine exponents.

Tap for more steps...

Step 2.2.1.1

Multiply $- 4$ by $4$ .

$t = \frac{- 25 v (100^{2} - 16 \cdot - 216)}{2}$

Step 2.2.1.2

Multiply $- 16$ by $- 216$ .

$t = \frac{- 25 v (100^{2} + 3456)}{2}$

Step 2.2.2

Raise $100$ to the power of $2$ .

$t = \frac{- 25 v (10000 + 3456)}{2}$

Step 2.2.3

Add $10000$ and $3456$ .

$t = \frac{- 25 v \cdot 13456}{2}$

Step 2.2.4

Multiply $13456$ by $- 25$ .

$t = \frac{- 336400 v}{2}$

Step 2.3

Cancel the common factor of $- 336400$ and $2$ .

Tap for more steps...

Step 2.3.1

Factor $2$ out of $- 336400 v$ .

$t = \frac{2 (- 168200 v)}{2}$

Step 2.3.2

Cancel the common factors.

Tap for more steps...

Step 2.3.2.1

Factor $2$ out of $2$ .

$t = \frac{2 (- 168200 v)}{2 (1)}$

Step 2.3.2.2

Cancel the common factor.

$t = \frac{2 (- 168200 v)}{2 \cdot 1}$

Step 2.3.2.3

Rewrite the expression.

$t = \frac{- 168200 v}{1}$

Step 2.3.2.4

Divide $- 168200 v$ by $1$ .

$t = - 168200 v$