Solve 8n-10n 8 -4-1 -4n

Question

Simplify the expression

- 76 n - 5

Evaluate

8 n - 10 n \times 8 - 4 - 1 - 4 n

Multiply the terms

8 n - 80 n - 4 - 1 - 4 n

Subtract the terms

More Steps

Evaluate

8 n - 80 n - 4 n

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

(8 - 80 - 4) n

Subtract the numbers

- 76 n

- 76 n - 4 - 1

Solution

- 76 n - 5

Show Solution

n = - \frac{5}{76}

Alternative Form

n \approx - 0.065789

Evaluate

8 n - 10 n \times 8 - 4 - 1 - 4 n

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

8 n - 10 n \times 8 - 4 - 1 - 4 n = 0

Multiply the terms

8 n - 80 n - 4 - 1 - 4 n = 0

Subtract the terms

More Steps

Simplify

8 n - 80 n

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

(8 - 80) n

Subtract the numbers

- 72 n

- 72 n - 4 - 1 - 4 n = 0

Subtract the numbers

- 72 n - 5 - 4 n = 0

Subtract the terms

More Steps

Simplify

- 72 n - 5 - 4 n

Subtract the terms

More Steps

Evaluate

- 72 n - 4 n

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

(- 72 - 4) n

Subtract the numbers

- 76 n

- 76 n - 5

- 76 n - 5 = 0

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

- 76 n = 0 + 5

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

- 76 n = 5

Change the signs on both sides of the equation

76 n = - 5

Divide both sides

\frac{76 n}{76} = \frac{- 5}{76}

Divide the numbers

n = \frac{- 5}{76}

Solution

n = - \frac{5}{76}

Alternative Form

n \approx - 0.065789

Show Solution