Basic Math Examples

$15 p + 3 (p - 1) = 3 (2^{3})$

Step 1

Simplify $15 p + 3 (p - 1)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$15 p + 3 p + 3 \cdot - 1 = 3 \cdot 2^{3}$

Step 1.1.2

Multiply $3$ by $- 1$ .

$15 p + 3 p - 3 = 3 \cdot 2^{3}$

$15 p + 3 p - 3 = 3 \cdot 2^{3}$

Step 1.2

Add $15 p$ and $3 p$ .

$18 p - 3 = 3 \cdot 2^{3}$

$18 p - 3 = 3 \cdot 2^{3}$

Step 2

Simplify $3 \cdot 2^{3}$ .

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Step 2.1

Raise $2$ to the power of $3$ .

$18 p - 3 = 3 \cdot 8$

Step 2.2

Multiply $3$ by $8$ .

$18 p - 3 = 24$

$18 p - 3 = 24$

Step 3

Move all terms not containing $p$ to the right side of the equation.

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Step 3.1

Add $3$ to both sides of the equation.

$18 p = 24 + 3$

Step 3.2

Add $24$ and $3$ .

$18 p = 27$

$18 p = 27$

Step 4

Divide each term in $18 p = 27$ by $18$ and simplify.

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Step 4.1

Divide each term in $18 p = 27$ by $18$ .

$\frac{18 p}{18} = \frac{27}{18}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $18$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{18 p}{18} = \frac{27}{18}$

Step 4.2.1.2

Divide $p$ by $1$ .

$p = \frac{27}{18}$

$p = \frac{27}{18}$

$p = \frac{27}{18}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $27$ and $18$ .

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Step 4.3.1.1

Factor $9$ out of $27$ .

$p = \frac{9 (3)}{18}$

Step 4.3.1.2

Cancel the common factors.

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Step 4.3.1.2.1

Factor $9$ out of $18$ .

$p = \frac{9 \cdot 3}{9 \cdot 2}$

Step 4.3.1.2.2

Cancel the common factor.

$p = \frac{9 \cdot 3}{9 \cdot 2}$

Step 4.3.1.2.3

Rewrite the expression.

$p = \frac{3}{2}$

$p = \frac{3}{2}$

$p = \frac{3}{2}$

$p = \frac{3}{2}$

$p = \frac{3}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$p = \frac{3}{2}$

Decimal Form:

$p = 1.5$

Mixed Number Form:

$p = 1 \frac{1}{2}$

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