Algebra Examples

$- \frac{n}{3} - 10 = 0$

Step 1

Add $10$ to both sides of the equation.

$- \frac{n}{3} = 10$

Step 2

Multiply both sides of the equation by $- 3$ .

$- 3 (- \frac{n}{3}) = - 3 \cdot 10$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $- 3 (- \frac{n}{3})$ .

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Step 3.1.1.1

Cancel the common factor of $3$ .

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Step 3.1.1.1.1

Move the leading negative in $- \frac{n}{3}$ into the numerator.

$- 3 \frac{- n}{3} = - 3 \cdot 10$

Step 3.1.1.1.2

Factor $3$ out of $- 3$ .

$3 (- 1) \frac{- n}{3} = - 3 \cdot 10$

Step 3.1.1.1.3

Cancel the common factor.

$3 \cdot - 1 \frac{- n}{3} = - 3 \cdot 10$

Step 3.1.1.1.4

Rewrite the expression.

$- - n = - 3 \cdot 10$

$- - n = - 3 \cdot 10$

Step 3.1.1.2

Multiply.

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Step 3.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 n = - 3 \cdot 10$

Step 3.1.1.2.2

Multiply $n$ by $1$ .

$n = - 3 \cdot 10$

$n = - 3 \cdot 10$

$n = - 3 \cdot 10$

$n = - 3 \cdot 10$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $- 3$ by $10$ .

$n = - 30$

$n = - 30$

$n = - 30$

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