Basic Math Examples

d = \frac{p c}{p + c}

$d = \frac{p c}{p + c}$

Step 1

Rewrite the equation as

\frac{p c}{p + c} = d

$\frac{p c}{p + c} = d$ .

\frac{p c}{p + c} = d

$\frac{p c}{p + c} = d$

Step 2

Find the LCD of the terms in the equation.

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Step 2.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

p + c, 1

$p + c, 1$

Step 2.2

Remove parentheses.

p + c, 1

$p + c, 1$

Step 2.3

The LCM of one and any expression is the expression.

p + c

$p + c$

p + c

$p + c$

Step 3

Multiply each term in

\frac{p c}{p + c} = d

$\frac{p c}{p + c} = d$ by

p + c

$p + c$ to eliminate the fractions.

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Step 3.1

Multiply each term in

\frac{p c}{p + c} = d

$\frac{p c}{p + c} = d$ by

p + c

$p + c$ .

\frac{p c}{p + c} (p + c) = d (p + c)

$\frac{p c}{p + c} (p + c) = d (p + c)$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

p + c

$p + c$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{p c}{p + c} (p + c) = d (p + c)$

Step 3.2.1.2

Rewrite the expression.

$p c = d (p + c)$

$p c = d (p + c)$

$p c = d (p + c)$

Step 3.3

Simplify the right side.

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Step 3.3.1

Apply the distributive property.

$p c = d p + d c$

$p c = d p + d c$

$p c = d p + d c$

Step 4

Solve the equation.

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Step 4.1

Subtract

$d p$ from both sides of the equation.

$p c - d p = d c$

Step 4.2

Factor

$p$ out of

$p c - d p$ .

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Step 4.2.1

Factor

$p$ out of

$p c$ .

$p (c) - d p = d c$

Step 4.2.2

Factor

$p$ out of

$- d p$ .

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

Step 4.2.3

Factor

$p$ out of

$p (c) + p (- d)$ .

$p (c - d) = d c$

$p (c - d) = d c$

Step 4.3

Divide each term in

$p (c - d) = d c$ by

$c - d$ and simplify.

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Step 4.3.1

Divide each term in

$p (c - d) = d c$ by

$c - d$ .

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

Step 4.3.2

Simplify the left side.

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Step 4.3.2.1

Cancel the common factor of

$c - d$ .

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Step 4.3.2.1.1

Cancel the common factor.

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

Step 4.3.2.1.2

Divide

$p$ by

$1$ .

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

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

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

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

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

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