Basic Math Examples

$c = \frac{8 (c - d)}{d}$

Step 1

Multiply both sides by $d$ .

$c d = \frac{8 (c - d)}{d} d$

Step 2

Simplify the right side.

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Step 2.1

Simplify $\frac{8 (c - d)}{d} d$ .

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Step 2.1.1

Cancel the common factor of $d$ .

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Step 2.1.1.1

Cancel the common factor.

$c d = \frac{8 (c - d)}{d} d$

Step 2.1.1.2

Rewrite the expression.

$c d = 8 (c - d)$

$c d = 8 (c - d)$

Step 2.1.2

Apply the distributive property.

$c d = 8 c + 8 (- d)$

Step 2.1.3

Multiply $- 1$ by $8$ .

$c d = 8 c - 8 d$

$c d = 8 c - 8 d$

$c d = 8 c - 8 d$

Step 3

Solve for $c$ .

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Step 3.1

Subtract $8 c$ from both sides of the equation.

$c d - 8 c = - 8 d$

Step 3.2

Factor $c$ out of $c d - 8 c$ .

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Step 3.2.1

Factor $c$ out of $c d$ .

$c (d) - 8 c = - 8 d$

Step 3.2.2

Factor $c$ out of $- 8 c$ .

$c (d) + c \cdot - 8 = - 8 d$

Step 3.2.3

Factor $c$ out of $c (d) + c \cdot - 8$ .

$c (d - 8) = - 8 d$

$c (d - 8) = - 8 d$

Step 3.3

Divide each term in $c (d - 8) = - 8 d$ by $d - 8$ and simplify.

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Step 3.3.1

Divide each term in $c (d - 8) = - 8 d$ by $d - 8$ .

$\frac{c (d - 8)}{d - 8} = \frac{- 8 d}{d - 8}$

Step 3.3.2

Simplify the left side.

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Step 3.3.2.1

Cancel the common factor of $d - 8$ .

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Step 3.3.2.1.1

Cancel the common factor.

$\frac{c (d - 8)}{d - 8} = \frac{- 8 d}{d - 8}$

Step 3.3.2.1.2

Divide $c$ by $1$ .

$c = \frac{- 8 d}{d - 8}$

$c = \frac{- 8 d}{d - 8}$

$c = \frac{- 8 d}{d - 8}$

Step 3.3.3

Simplify the right side.

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Step 3.3.3.1

Move the negative in front of the fraction.

$c = - \frac{8 d}{d - 8}$

$c = - \frac{8 d}{d - 8}$

$c = - \frac{8 d}{d - 8}$

$c = - \frac{8 d}{d - 8}$

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