Basic Math Examples

$2808 = \frac{1}{2} \cdot (a \cdot 12^{2})$

Step 1

Rewrite the equation as $\frac{1}{2} a \cdot 12^{2} = 2808$ .

$\frac{1}{2} a \cdot 12^{2} = 2808$

Step 2

Simplify $\frac{1}{2} a \cdot 12^{2}$ .

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Step 2.1

Combine $\frac{1}{2}$ and $a$ .

$\frac{a}{2} \cdot 12^{2} = 2808$

Step 2.2

Raise $12$ to the power of $2$ .

$\frac{a}{2} \cdot 144 = 2808$

Step 2.3

Cancel the common factor of $2$ .

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Step 2.3.1

Factor $2$ out of $144$ .

$\frac{a}{2} \cdot (2 (72)) = 2808$

Step 2.3.2

Cancel the common factor.

$\frac{a}{2} \cdot (2 \cdot 72) = 2808$

Step 2.3.3

Rewrite the expression.

$a \cdot 72 = 2808$

Step 2.4

Move $72$ to the left of $a$ .

$72 a = 2808$

Step 3

Divide each term in $72 a = 2808$ by $72$ and simplify.

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Step 3.1

Divide each term in $72 a = 2808$ by $72$ .

$\frac{72 a}{72} = \frac{2808}{72}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $72$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{72 a}{72} = \frac{2808}{72}$

Step 3.2.1.2

Divide $a$ by $1$ .

$a = \frac{2808}{72}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $2808$ by $72$ .

$a = 39$