Solve n-n-n-n n-n-n-n

Question

Simplify the expression

- 4 n - n^{2}

Evaluate

n - n - n - n \times n - n - n - n

Write the repeated addition as multiplication

n - n \times 5 - n \times n

Use the commutative property to reorder the terms

n - 5 n - n \times n

Multiply the terms

n - 5 n - n^{2}

Solution

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Evaluate

n - 5 n

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

(1 - 5) n

Subtract the numbers

- 4 n

- 4 n - n^{2}

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Factor the expression

- n (4 + n)

Evaluate

n - n - n - n \times n - n - n - n

Multiply the terms

n - n - n - n^{2} - n - n - n

Subtract the terms

0 - n - n^{2} - n - n - n

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

- n - n^{2} - n - n - n

Subtract the terms

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Simplify

- n - n^{2} - n

Subtract the terms

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Evaluate

- n - n

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

(- 1 - 1) n

Subtract the numbers

- 2 n

- 2 n - n^{2}

- 2 n - n^{2} - n - n

Subtract the terms

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Simplify

- 2 n - n^{2} - n

Subtract the terms

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Evaluate

- 2 n - n

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

(- 2 - 1) n

Subtract the numbers

- 3 n

- 3 n - n^{2}

- 3 n - n^{2} - n

Subtract the terms

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Evaluate

- 3 n - n

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

(- 3 - 1) n

Subtract the numbers

- 4 n

- 4 n - n^{2}

Rewrite the expression

- n \times 4 - n \times n

Solution

- n (4 + n)

Show Solution

Find the roots

n_{1} = - 4, n_{2} = 0

Evaluate

n - n - n - n \times n - n - n - n

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

n - n - n - n \times n - n - n - n = 0

Subtract the terms

0 - n - n \times n - n - n - n = 0

Multiply the terms

0 - n - n^{2} - n - n - n = 0

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

- n - n^{2} - n - n - n = 0

Subtract the terms

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Simplify

- n - n^{2} - n

Subtract the terms

More Steps

Evaluate

- n - n

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

(- 1 - 1) n

Subtract the numbers

- 2 n

- 2 n - n^{2}

- 2 n - n^{2} - n - n = 0

Subtract the terms

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Simplify

- 2 n - n^{2} - n

Subtract the terms

More Steps

Evaluate

- 2 n - n

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

(- 2 - 1) n

Subtract the numbers

- 3 n

- 3 n - n^{2}

- 3 n - n^{2} - n = 0

Subtract the terms

More Steps

Simplify

- 3 n - n^{2} - n

Subtract the terms

More Steps

Evaluate

- 3 n - n

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

(- 3 - 1) n

Subtract the numbers

- 4 n

- 4 n - n^{2}

- 4 n - n^{2} = 0

Factor the expression

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Evaluate

- 4 n - n^{2}

Rewrite the expression

- n \times 4 - n \times n

Factor out - n from the expression

- n (4 + n)

- n (4 + n) = 0

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

- n = 0 4 + n = 0

Solve the equation for n

n = 0 4 + n = 0

Solve the equation for n

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Evaluate

4 + n = 0

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

n = 0 - 4

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

n = - 4

n = 0 n = - 4

Solution

n_{1} = - 4, n_{2} = 0

Show Solution