Solve k7-3-2 k7-3-1

Question

Simplify the expression

- 7 k - 7

Evaluate

k \times 7 - 3 - 2 k \times 7 - 3 - 1

Use the commutative property to reorder the terms

7 k - 3 - 2 k \times 7 - 3 - 1

Multiply the terms

7 k - 3 - 14 k - 3 - 1

Subtract the terms

More Steps

Evaluate

7 k - 14 k

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

(7 - 14) k

Subtract the numbers

- 7 k

- 7 k - 3 - 3 - 1

Solution

- 7 k - 7

Show Solution

Factor the expression

- 7 (k + 1)

Evaluate

k \times 7 - 3 - 2 k \times 7 - 3 - 1

Use the commutative property to reorder the terms

7 k - 3 - 2 k \times 7 - 3 - 1

Multiply the terms

7 k - 3 - 14 k - 3 - 1

Subtract the terms

More Steps

Simplify

7 k - 3 - 14 k

Subtract the terms

More Steps

Evaluate

7 k - 14 k

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

(7 - 14) k

Subtract the numbers

- 7 k

- 7 k - 3

- 7 k - 3 - 3 - 1

Subtract the numbers

- 7 k - 6 - 1

Subtract the numbers

- 7 k - 7

Solution

- 7 (k + 1)

Show Solution

Find the roots

k = - 1

Evaluate

k \times 7 - 3 - 2 k \times 7 - 3 - 1

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

k \times 7 - 3 - 2 k \times 7 - 3 - 1 = 0

Use the commutative property to reorder the terms

7 k - 3 - 2 k \times 7 - 3 - 1 = 0

Multiply the terms

7 k - 3 - 14 k - 3 - 1 = 0

Subtract the terms

More Steps

Simplify

7 k - 3 - 14 k

Subtract the terms

More Steps

Evaluate

7 k - 14 k

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

(7 - 14) k

Subtract the numbers

- 7 k

- 7 k - 3

- 7 k - 3 - 3 - 1 = 0

Subtract the numbers

- 7 k - 6 - 1 = 0

Subtract the numbers

- 7 k - 7 = 0

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

- 7 k = 0 + 7

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

- 7 k = 7

Change the signs on both sides of the equation

7 k = - 7

Divide both sides

\frac{7 k}{7} = \frac{- 7}{7}

Divide the numbers

k = \frac{- 7}{7}

Solution

More Steps

Evaluate

\frac{- 7}{7}

Reduce the numbers

\frac{- 1}{1}

Calculate

- 1

k = - 1

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