Trigonometry Examples

$g (- 8 b) = 9 (- 8 b) - 3$

Step 1

Rewrite using the commutative property of multiplication.

$- 8 g b = 9 (- 8 b) - 3$

Step 2

Multiply $- 8$ by $9$ .

$- 8 g b = - 72 b - 3$

Step 3

Add $72 b$ to both sides of the equation.

$- 8 g b + 72 b = - 3$

Step 4

Factor $8 b$ out of $- 8 g b + 72 b$ .

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Step 4.1

Factor $8 b$ out of $- 8 g b$ .

$8 b (- g) + 72 b = - 3$

Step 4.2

Factor $8 b$ out of $72 b$ .

$8 b (- g) + 8 b (9) = - 3$

Step 4.3

Factor $8 b$ out of $8 b (- g) + 8 b (9)$ .

$8 b (- g + 9) = - 3$

Step 5

Divide each term in $8 b (- g + 9) = - 3$ by $8 (- g + 9)$ and simplify.

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Step 5.1

Divide each term in $8 b (- g + 9) = - 3$ by $8 (- g + 9)$ .

$\frac{8 b (- g + 9)}{8 (- g + 9)} = \frac{- 3}{8 (- g + 9)}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $8$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{8 b (- g + 9)}{8 (- g + 9)} = \frac{- 3}{8 (- g + 9)}$

Step 5.2.1.2

Rewrite the expression.

$\frac{b (- g + 9)}{- g + 9} = \frac{- 3}{8 (- g + 9)}$

Step 5.2.2

Cancel the common factor of $- g + 9$ .

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Step 5.2.2.1

Cancel the common factor.

$\frac{b (- g + 9)}{- g + 9} = \frac{- 3}{8 (- g + 9)}$

Step 5.2.2.2

Divide $b$ by $1$ .

$b = \frac{- 3}{8 (- g + 9)}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Move the negative in front of the fraction.

$b = - \frac{3}{8 (- g + 9)}$

Step 5.3.2

Factor $- 1$ out of $- g$ .

$b = - \frac{3}{8 (- (g) + 9)}$

Step 5.3.3

Rewrite $9$ as $- 1 (- 9)$ .

$b = - \frac{3}{8 (- (g) - 1 (- 9))}$

Step 5.3.4

Factor $- 1$ out of $- (g) - 1 (- 9)$ .

$b = - \frac{3}{8 (- (g - 9))}$

Step 5.3.5

Simplify the expression.

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Step 5.3.5.1

Rewrite $- (g - 9)$ as $- 1 (g - 9)$ .

$b = - \frac{3}{8 (- 1 (g - 9))}$

Step 5.3.5.2

Move the negative in front of the fraction.

$b = - - \frac{3}{8 (g - 9)}$

Step 5.3.5.3

Multiply $- 1$ by $- 1$ .

$b = 1 \frac{3}{8 (g - 9)}$

Step 5.3.5.4

Multiply $\frac{3}{8 (g - 9)}$ by $1$ .

$b = \frac{3}{8 (g - 9)}$