Solve (-9b-6)-(6b 7)

Question

Simplify the expression

- 51 b - 6

Evaluate

(- 9 b - 6) - (6 b \times 7)

Remove the parentheses

- 9 b - 6 - (6 b \times 7)

Multiply the terms

- 9 b - 6 - 42 b

Solution

More Steps

Evaluate

- 9 b - 42 b

Collect like terms by calculating the sum or difference of their coefficients

(- 9 - 42) b

Subtract the numbers

- 51 b

- 51 b - 6

Show Solution

- 3 (17 b + 2)

Evaluate

(- 9 b - 6) - (6 b \times 7)

Remove the parentheses

- 9 b - 6 - (6 b \times 7)

Multiply the terms

- 9 b - 6 - 42 b

Subtract the terms

More Steps

Evaluate

- 9 b - 42 b

Collect like terms by calculating the sum or difference of their coefficients

(- 9 - 42) b

Subtract the numbers

- 51 b

- 51 b - 6

Solution

- 3 (17 b + 2)

Show Solution

b = - \frac{2}{17}

Alternative Form

b \approx - 0.117647

Evaluate

(- 9 b - 6) - (6 b \times 7)

To find the roots of the expression,set the expression equal to 0

(- 9 b - 6) - (6 b \times 7) = 0

Remove the parentheses

- 9 b - 6 - (6 b \times 7) = 0

Multiply the terms

- 9 b - 6 - 42 b = 0

Subtract the terms

More Steps

Simplify

- 9 b - 6 - 42 b

Subtract the terms

More Steps

Evaluate

- 9 b - 42 b

Collect like terms by calculating the sum or difference of their coefficients

(- 9 - 42) b

Subtract the numbers

- 51 b

- 51 b - 6

- 51 b - 6 = 0

Move the constant to the right-hand side and change its sign

- 51 b = 0 + 6

Removing 0 doesn't change the value,so remove it from the expression

- 51 b = 6

Change the signs on both sides of the equation

51 b = - 6

Divide both sides

\frac{51 b}{51} = \frac{- 6}{51}

Divide the numbers

b = \frac{- 6}{51}

Solution

More Steps

Evaluate

\frac{- 6}{51}

Cancel out the common factor 3

\frac{- 2}{17}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{2}{17}

b = - \frac{2}{17}

Alternative Form

b \approx - 0.117647

Show Solution