Basic Math Examples

\frac{3}{2} n - 6 = 0

$\frac{3}{2} n - 6 = 0$

Step 1

Combine

\frac{3}{2}

$\frac{3}{2}$ and

n

$n$ .

\frac{3 n}{2} - 6 = 0

$\frac{3 n}{2} - 6 = 0$

Step 2

Add

6

$6$ to both sides of the equation.

\frac{3 n}{2} = 6

$\frac{3 n}{2} = 6$

Step 3

Multiply both sides of the equation by

\frac{2}{3}

$\frac{2}{3}$ .

\frac{2}{3} \cdot \frac{3 n}{2} = \frac{2}{3} \cdot 6

$\frac{2}{3} \cdot \frac{3 n}{2} = \frac{2}{3} \cdot 6$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify

\frac{2}{3} \cdot \frac{3 n}{2}

$\frac{2}{3} \cdot \frac{3 n}{2}$ .

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Step 4.1.1.1

Cancel the common factor of

2

$2$ .

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Step 4.1.1.1.1

Cancel the common factor.

$\frac{2}{3} \cdot \frac{3 n}{2} = \frac{2}{3} \cdot 6$

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{3} (3 n) = \frac{2}{3} \cdot 6$

$\frac{1}{3} (3 n) = \frac{2}{3} \cdot 6$

Step 4.1.1.2

Cancel the common factor of

$3$ .

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Step 4.1.1.2.1

Factor

$3$ out of

$3 n$ .

$\frac{1}{3} (3 (n)) = \frac{2}{3} \cdot 6$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{3} (3 n) = \frac{2}{3} \cdot 6$

Step 4.1.1.2.3

Rewrite the expression.

$n = \frac{2}{3} \cdot 6$

$n = \frac{2}{3} \cdot 6$

$n = \frac{2}{3} \cdot 6$

$n = \frac{2}{3} \cdot 6$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify

$\frac{2}{3} \cdot 6$ .

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Step 4.2.1.1

Cancel the common factor of

$3$ .

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Step 4.2.1.1.1

Factor

$3$ out of

$6$ .

$n = \frac{2}{3} \cdot (3 (2))$

Step 4.2.1.1.2

Cancel the common factor.

$n = \frac{2}{3} \cdot (3 \cdot 2)$

Step 4.2.1.1.3

Rewrite the expression.

$n = 2 \cdot 2$

$n = 2 \cdot 2$

Step 4.2.1.2

Multiply

$2$ by

$2$ .

$n = 4$

$n = 4$

$n = 4$

$n = 4$

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