Calculus Examples

$144 - 32 t = 0$

Step 1

Subtract $144$ from both sides of the equation.

$- 32 t = - 144$

Step 2

Divide each term in $- 32 t = - 144$ by $- 32$ and simplify.

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Divide each term in $- 32 t = - 144$ by $- 32$ .

$\frac{- 32 t}{- 32} = \frac{- 144}{- 32}$

Simplify the left side.

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Cancel the common factor of $- 32$ .

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Cancel the common factor.

$\frac{- 32 t}{- 32} = \frac{- 144}{- 32}$

Divide $t$ by $1$ .

$t = \frac{- 144}{- 32}$

$t = \frac{- 144}{- 32}$

$t = \frac{- 144}{- 32}$

Simplify the right side.

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Cancel the common factor of $- 144$ and $- 32$ .

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Factor $- 16$ out of $- 144$ .

$t = \frac{- 16 (9)}{- 32}$

Cancel the common factors.

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Factor $- 16$ out of $- 32$ .

$t = \frac{- 16 \cdot 9}{- 16 \cdot 2}$

Cancel the common factor.

$t = \frac{- 16 \cdot 9}{- 16 \cdot 2}$

Rewrite the expression.

$t = \frac{9}{2}$

$t = \frac{9}{2}$

$t = \frac{9}{2}$

$t = \frac{9}{2}$

$t = \frac{9}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$t = \frac{9}{2}$

Decimal Form:

$t = 4.5$

Mixed Number Form:

$t = 4 \frac{1}{2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$