Basic Math Examples

$28.8 = 9 \cdot 10^{9} \cdot \frac{q \cdot 3000}{16}$

Step 1

Rewrite the equation as $9 \cdot 10^{9} \cdot \frac{q \cdot 3000}{16} = 28.8$ .

$9 \cdot 10^{9} \cdot \frac{q \cdot 3000}{16} = 28.8$

Step 2

Simplify $9 \cdot 10^{9} \cdot \frac{q \cdot 3000}{16}$ .

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Step 2.1

Cancel the common factor of $3000$ and $16$ .

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Step 2.1.1

Factor $8$ out of $q \cdot 3000$ .

$9 \cdot 10^{9} \cdot \frac{8 (q \cdot 375)}{16} = 28.8$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $8$ out of $16$ .

$9 \cdot 10^{9} \cdot \frac{8 (q \cdot 375)}{8 (2)} = 28.8$

Step 2.1.2.2

Cancel the common factor.

$9 \cdot 10^{9} \cdot \frac{8 (q \cdot 375)}{8 \cdot 2} = 28.8$

Step 2.1.2.3

Rewrite the expression.

$9 \cdot 10^{9} \cdot \frac{q \cdot 375}{2} = 28.8$

Step 2.2

Move $375$ to the left of $q$ .

$9 \cdot 10^{9} \cdot \frac{375 \cdot q}{2} = 28.8$

Step 2.3

Multiply $9 \cdot 10^{9} \frac{375 q}{2}$ .

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Step 2.3.1

Combine $9$ and $\frac{375 q}{2}$ .

$10^{9} \frac{9 (375 q)}{2} = 28.8$

Step 2.3.2

Multiply $375$ by $9$ .

$10^{9} \frac{3375 q}{2} = 28.8$

Step 2.3.3

Combine $10^{9}$ and $\frac{3375 q}{2}$ .

$\frac{10^{9} (3375 q)}{2} = 28.8$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Raise $10$ to the power of $9$ .

$\frac{1000000000 \cdot 3375 q}{2} = 28.8$

Step 2.4.2

Multiply $1000000000$ by $3375$ .

$\frac{3375000000000 q}{2} = 28.8$

Step 2.5

Cancel the common factor of $3375000000000$ and $2$ .

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Step 2.5.1

Factor $2$ out of $3375000000000 q$ .

$\frac{2 (1687500000000 q)}{2} = 28.8$

Step 2.5.2

Cancel the common factors.

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Step 2.5.2.1

Factor $2$ out of $2$ .

$\frac{2 (1687500000000 q)}{2 (1)} = 28.8$

Step 2.5.2.2

Cancel the common factor.

$\frac{2 (1687500000000 q)}{2 \cdot 1} = 28.8$

Step 2.5.2.3

Rewrite the expression.

$\frac{1687500000000 q}{1} = 28.8$

Step 2.5.2.4

Divide $1687500000000 q$ by $1$ .

$1687500000000 q = 28.8$

Step 3

Divide each term in $1687500000000 q = 28.8$ by $1687500000000$ and simplify.

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Step 3.1

Divide each term in $1687500000000 q = 28.8$ by $1687500000000$ .

$\frac{1687500000000 q}{1687500000000} = \frac{28.8}{1687500000000}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $1687500000000$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{1687500000000 q}{1687500000000} = \frac{28.8}{1687500000000}$

Step 3.2.1.2

Divide $q$ by $1$ .

$q = \frac{28.8}{1687500000000}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $28.8$ by $1687500000000$ .

$q = 0$