Solve (8x 1)2-(7x-5)2

Question

Simplify the expression

2 x + 10

Evaluate

(8 x \times 1) \times 2 - (7 x - 5) \times 2

Remove the parentheses

8 x \times 1 \times 2 - (7 x - 5) \times 2

Multiply the terms

More Steps

Multiply the terms

8 x \times 1 \times 2

Rewrite the expression

8 x \times 2

Multiply the terms

16 x

16 x - (7 x - 5) \times 2

Multiply the terms

16 x - 2 (7 x - 5)

Expand the expression

More Steps

Calculate

- 2 (7 x - 5)

Apply the distributive property

- 2 \times 7 x - (- 2 \times 5)

Multiply the numbers

- 14 x - (- 2 \times 5)

Multiply the numbers

- 14 x - (- 10)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 14 x + 10

16 x - 14 x + 10

Solution

More Steps

Evaluate

16 x - 14 x

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

(16 - 14) x

Subtract the numbers

2 x

2 x + 10

Show Solution

Factor the expression

2 (x + 5)

Evaluate

(8 x \times 1) \times 2 - (7 x - 5) \times 2

Remove the parentheses

8 x \times 1 \times 2 - (7 x - 5) \times 2

Multiply the terms

8 x \times 2 - (7 x - 5) \times 2

Multiply the numbers

More Steps

Evaluate

8 \times 2

Multiply the numbers

16

Evaluate

16 x

16 x - (7 x - 5) \times 2

Multiply the terms

16 x - 2 (7 x - 5)

Simplify

More Steps

Evaluate

- 2 (7 x - 5)

Apply the distributive property

- 2 \times 7 x - 2 (- 5)

Multiply the terms

- 14 x - 2 (- 5)

Multiply the terms

More Steps

Evaluate

- 2 (- 5)

Multiplying or dividing an even number of negative terms equals a positive

2 \times 5

Multiply the numbers

10

- 14 x + 10

16 x - 14 x + 10

Subtract the terms

More Steps

Evaluate

16 x - 14 x

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

(16 - 14) x

Subtract the numbers

2 x

2 x + 10

Solution

2 (x + 5)

Show Solution

Find the roots

x = - 5

Evaluate

(8 x \times 1) \times 2 - (7 x - 5) \times 2

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

(8 x \times 1) \times 2 - (7 x - 5) \times 2 = 0

Multiply the terms

8 x \times 2 - (7 x - 5) \times 2 = 0

Multiply the numbers

16 x - (7 x - 5) \times 2 = 0

Multiply the terms

16 x - 2 (7 x - 5) = 0

Calculate

More Steps

Evaluate

16 x - 2 (7 x - 5)

Expand the expression

More Steps

Calculate

- 2 (7 x - 5)

Apply the distributive property

- 2 \times 7 x - (- 2 \times 5)

Multiply the numbers

- 14 x - (- 2 \times 5)

Multiply the numbers

- 14 x - (- 10)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 14 x + 10

16 x - 14 x + 10

Subtract the terms

More Steps

Evaluate

16 x - 14 x

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

(16 - 14) x

Subtract the numbers

2 x

2 x + 10

2 x + 10 = 0

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

2 x = 0 - 10

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

2 x = - 10

Divide both sides

\frac{2 x}{2} = \frac{- 10}{2}

Divide the numbers

x = \frac{- 10}{2}

Solution

More Steps

Evaluate

\frac{- 10}{2}

Reduce the numbers

\frac{- 5}{1}

Calculate

- 5

x = - 5

Show Solution