Algebra Examples

$c = \frac{a d}{a + 12}$

Step 1

Rewrite the equation as $\frac{a d}{a + 12} = c$ .

$\frac{a d}{a + 12} = c$

Step 2

Multiply both sides by $a + 12$ .

$\frac{a d}{a + 12} (a + 12) = c (a + 12)$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $a + 12$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{a d}{a + 12} (a + 12) = c (a + 12)$

Step 3.1.1.2

Rewrite the expression.

$a d = c (a + 12)$

$a d = c (a + 12)$

$a d = c (a + 12)$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $c (a + 12)$ .

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Step 3.2.1.1

Apply the distributive property.

$a d = c a + c \cdot 12$

Step 3.2.1.2

Simplify the expression.

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Step 3.2.1.2.1

Move $12$ to the left of $c$ .

$a d = c a + 12 \cdot c$

Step 3.2.1.2.2

Reorder $c$ and $a$ .

$a d = a c + 12 c$

$a d = a c + 12 c$

$a d = a c + 12 c$

$a d = a c + 12 c$

$a d = a c + 12 c$

Step 4

Divide each term in $a d = a c + 12 c$ by $a$ and simplify.

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Step 4.1

Divide each term in $a d = a c + 12 c$ by $a$ .

$\frac{a d}{a} = \frac{a c}{a} + \frac{12 c}{a}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $a$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{a d}{a} = \frac{a c}{a} + \frac{12 c}{a}$

Step 4.2.1.2

Divide $d$ by $1$ .

$d = \frac{a c}{a} + \frac{12 c}{a}$

$d = \frac{a c}{a} + \frac{12 c}{a}$

$d = \frac{a c}{a} + \frac{12 c}{a}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $a$ .

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Step 4.3.1.1

Cancel the common factor.

$d = \frac{a c}{a} + \frac{12 c}{a}$

Step 4.3.1.2

Divide $c$ by $1$ .

$d = c + \frac{12 c}{a}$

$d = c + \frac{12 c}{a}$

$d = c + \frac{12 c}{a}$

$d = c + \frac{12 c}{a}$

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