Algebra Examples

$p (0) = \frac{1}{33} d + 1$

Step 1

Rewrite the equation as $\frac{1}{33} d + 1 = p (0)$ .

$\frac{1}{33} d + 1 = p (0)$

Step 2

Combine $\frac{1}{33}$ and $d$ .

$\frac{d}{33} + 1 = p (0)$

Step 3

Multiply $p$ by $0$ .

$\frac{d}{33} + 1 = 0$

Step 4

Subtract $1$ from both sides of the equation.

$\frac{d}{33} = - 1$

Step 5

Multiply both sides of the equation by $33$ .

$33 \frac{d}{33} = 33 \cdot - 1$

Step 6

Simplify both sides of the equation.

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Step 6.1

Simplify the left side.

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Step 6.1.1

Cancel the common factor of $33$ .

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Step 6.1.1.1

Cancel the common factor.

$33 \frac{d}{33} = 33 \cdot - 1$

Step 6.1.1.2

Rewrite the expression.

$d = 33 \cdot - 1$

Step 6.2

Simplify the right side.

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Step 6.2.1

Multiply $33$ by $- 1$ .

$d = - 33$

Step 7

To rewrite as a function of $p$ , write the equation so that $d$ is by itself on one side of the equal sign and an expression involving only $p$ is on the other side.

$f (p) = - 33$