Solve 5n-6n-8n 9n

Question

Simplify the expression

- n - 72 n^{2}

Evaluate

5 n - 6 n - 8 n \times 9 n

Multiply

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Multiply the terms

- 8 n \times 9 n

Multiply the terms

- 72 n \times n

Multiply the terms

- 72 n^{2}

5 n - 6 n - 72 n^{2}

Solution

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Evaluate

5 n - 6 n

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

(5 - 6) n

Subtract the numbers

- n

- n - 72 n^{2}

Show Solution

Factor the expression

- n (1 + 72 n)

Evaluate

5 n - 6 n - 8 n \times 9 n

Multiply

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Multiply the terms

8 n \times 9 n

Multiply the terms

72 n \times n

Multiply the terms

72 n^{2}

5 n - 6 n - 72 n^{2}

Subtract the terms

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Simplify

5 n - 6 n

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

(5 - 6) n

Subtract the numbers

- n

- n - 72 n^{2}

Rewrite the expression

- n - n \times 72 n

Solution

- n (1 + 72 n)

Show Solution

Find the roots

n_{1} = - \frac{1}{72}, n_{2} = 0

Alternative Form

n_{1} = - 0.013 \dot{8}, n_{2} = 0

Evaluate

5 n - 6 n - 8 n \times 9 n

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

5 n - 6 n - 8 n \times 9 n = 0

Multiply

More Steps

Multiply the terms

8 n \times 9 n

Multiply the terms

72 n \times n

Multiply the terms

72 n^{2}

5 n - 6 n - 72 n^{2} = 0

Subtract the terms

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Simplify

5 n - 6 n

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

(5 - 6) n

Subtract the numbers

- n

- n - 72 n^{2} = 0

Factor the expression

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Evaluate

- n - 72 n^{2}

Rewrite the expression

- n - n \times 72 n

Factor out - n from the expression

- n (1 + 72 n)

- n (1 + 72 n) = 0

When the product of factors equals 0,at least one factor is 0

- n = 0 1 + 72 n = 0

Solve the equation for n

n = 0 1 + 72 n = 0

Solve the equation for n

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Evaluate

1 + 72 n = 0

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

72 n = 0 - 1

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

72 n = - 1

Divide both sides

\frac{72 n}{72} = \frac{- 1}{72}

Divide the numbers

n = \frac{- 1}{72}

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

n = - \frac{1}{72}

n = 0 n = - \frac{1}{72}

Solution

n_{1} = - \frac{1}{72}, n_{2} = 0

Alternative Form

n_{1} = - 0.013 \dot{8}, n_{2} = 0

Show Solution