Basic Math Examples

9 = - \frac{w + 10}{- 9}

$9 = - \frac{w + 10}{- 9}$

Step 1

Rewrite the equation as

- \frac{w + 10}{- 9} = 9

$- \frac{w + 10}{- 9} = 9$ .

- \frac{w + 10}{- 9} = 9

$- \frac{w + 10}{- 9} = 9$

Step 2

Multiply both sides of the equation by

9

$9$ .

9 (- \frac{w + 10}{- 9}) = 9 \cdot 9

$9 (- \frac{w + 10}{- 9}) = 9 \cdot 9$

Step 3

Simplify both sides of the equation.

Tap for more steps...

Step 3.1

Simplify the left side.

Tap for more steps...

Step 3.1.1

Simplify

9 (- \frac{w + 10}{- 9})

$9 (- \frac{w + 10}{- 9})$ .

Tap for more steps...

Step 3.1.1.1

Cancel the common factor of

9

$9$ .

Tap for more steps...

Step 3.1.1.1.1

Move the leading negative in

- \frac{w + 10}{- 9}

$- \frac{w + 10}{- 9}$ into the numerator.

9 \frac{- (w + 10)}{- 9} = 9 \cdot 9

$9 \frac{- (w + 10)}{- 9} = 9 \cdot 9$

Step 3.1.1.1.2

Factor

9

$9$ out of

- 9

$- 9$ .

9 \frac{- (w + 10)}{9 (- 1)} = 9 \cdot 9

$9 \frac{- (w + 10)}{9 (- 1)} = 9 \cdot 9$

Step 3.1.1.1.3

Cancel the common factor.

9 \frac{- (w + 10)}{9 \cdot - 1} = 9 \cdot 9

$9 \frac{- (w + 10)}{9 \cdot - 1} = 9 \cdot 9$

Step 3.1.1.1.4

Rewrite the expression.

\frac{- (w + 10)}{- 1} = 9 \cdot 9

$\frac{- (w + 10)}{- 1} = 9 \cdot 9$

\frac{- (w + 10)}{- 1} = 9 \cdot 9

$\frac{- (w + 10)}{- 1} = 9 \cdot 9$

Step 3.1.1.2

Dividing two negative values results in a positive value.

\frac{w + 10}{1} = 9 \cdot 9

$\frac{w + 10}{1} = 9 \cdot 9$

Step 3.1.1.3

Divide

w + 10

$w + 10$ by

1

$1$ .

w + 10 = 9 \cdot 9

$w + 10 = 9 \cdot 9$

w + 10 = 9 \cdot 9

$w + 10 = 9 \cdot 9$

w + 10 = 9 \cdot 9

$w + 10 = 9 \cdot 9$

Step 3.2

Simplify the right side.

Tap for more steps...

Step 3.2.1

Multiply

9

$9$ by

9

$9$ .

w + 10 = 81

$w + 10 = 81$

w + 10 = 81

$w + 10 = 81$

w + 10 = 81

$w + 10 = 81$

Step 4

Move all terms not containing

w

$w$ to the right side of the equation.

Tap for more steps...

Step 4.1

Subtract

10

$10$ from both sides of the equation.

w = 81 - 10

$w = 81 - 10$

Step 4.2

Subtract

10

$10$ from

81

$81$ .

w = 71

$w = 71$

w = 71

$w = 71$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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