Solve (3x 2 −8x) 2 −11(3x 2 −8x)−80

Question

Simplify the expression

18 x - 80

Evaluate

(3 x \times 2 - 8 x) \times 2 - 11 (3 x \times 2 - 8 x) - 80

Multiply the terms

(6 x - 8 x) \times 2 - 11 (3 x \times 2 - 8 x) - 80

Subtract the terms

More Steps

Simplify

6 x - 8 x

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

(6 - 8) x

Subtract the numbers

- 2 x

(- 2 x) \times 2 - 11 (3 x \times 2 - 8 x) - 80

Remove the parentheses

- 2 x \times 2 - 11 (3 x \times 2 - 8 x) - 80

Multiply the terms

- 2 x \times 2 - 11 (6 x - 8 x) - 80

Subtract the terms

More Steps

Simplify

6 x - 8 x

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

(6 - 8) x

Subtract the numbers

- 2 x

- 2 x \times 2 - 11 (- 2 x) - 80

Multiply the numbers

- 4 x - 11 (- 2 x) - 80

Multiply the numbers

More Steps

Evaluate

- 11 (- 2)

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

11 \times 2

Multiply the numbers

22

- 4 x + 22 x - 80

Solution

More Steps

Evaluate

- 4 x + 22 x

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

(- 4 + 22) x

Add the numbers

18 x

18 x - 80

Show Solution

Factor the expression

2 (9 x - 40)

Evaluate

(3 x \times 2 - 8 x) \times 2 - 11 (3 x \times 2 - 8 x) - 80

Multiply the terms

(6 x - 8 x) \times 2 - 11 (3 x \times 2 - 8 x) - 80

Subtract the terms

More Steps

Simplify

6 x - 8 x

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

(6 - 8) x

Subtract the numbers

- 2 x

- 2 x \times 2 - 11 (3 x \times 2 - 8 x) - 80

Multiply the terms

- 2 x \times 2 - 11 (6 x - 8 x) - 80

Subtract the terms

More Steps

Simplify

6 x - 8 x

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

(6 - 8) x

Subtract the numbers

- 2 x

- 2 x \times 2 - 11 (- 2 x) - 80

Multiply the numbers

More Steps

Evaluate

- 2 \times 2

Multiply the numbers

- 4

Evaluate

- 4 x

- 4 x - 11 (- 2 x) - 80

Multiply the numbers

More Steps

Evaluate

11 (- 2)

Multiplying or dividing an odd number of negative terms equals a negative

- 11 \times 2

Multiply the numbers

- 22

Evaluate

- 22 x

- 4 x - (- 22 x) - 80

Subtract the terms

More Steps

Simplify

- 4 x - (- 22 x)

Rewrite the expression

- 4 x + 22 x

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

(- 4 + 22) x

Add the numbers

18 x

18 x - 80

Solution

2 (9 x - 40)

Show Solution

Find the roots

x = \frac{40}{9}

Alternative Form

x = 4. \dot{4}

Evaluate

(3 x \times 2 - 8 x) \times 2 - 11 (3 x \times 2 - 8 x) - 80

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

(3 x \times 2 - 8 x) \times 2 - 11 (3 x \times 2 - 8 x) - 80 = 0

Multiply the terms

(6 x - 8 x) \times 2 - 11 (3 x \times 2 - 8 x) - 80 = 0

Subtract the terms

More Steps

Simplify

6 x - 8 x

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

(6 - 8) x

Subtract the numbers

- 2 x

(- 2 x) \times 2 - 11 (3 x \times 2 - 8 x) - 80 = 0

Remove the parentheses

- 2 x \times 2 - 11 (3 x \times 2 - 8 x) - 80 = 0

Multiply the terms

- 2 x \times 2 - 11 (6 x - 8 x) - 80 = 0

Subtract the terms

More Steps

Simplify

6 x - 8 x

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

(6 - 8) x

Subtract the numbers

- 2 x

- 2 x \times 2 - 11 (- 2 x) - 80 = 0

Multiply the numbers

- 4 x - 11 (- 2 x) - 80 = 0

Multiply the numbers

More Steps

Evaluate

11 (- 2)

Multiplying or dividing an odd number of negative terms equals a negative

- 11 \times 2

Multiply the numbers

- 22

- 4 x - (- 22 x) - 80 = 0

Subtract the terms

More Steps

Simplify

- 4 x - (- 22 x)

Rewrite the expression

- 4 x + 22 x

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

(- 4 + 22) x

Add the numbers

18 x

18 x - 80 = 0

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

18 x = 0 + 80

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

18 x = 80

Divide both sides

\frac{18 x}{18} = \frac{80}{18}

Divide the numbers

x = \frac{80}{18}

Solution

x = \frac{40}{9}

Alternative Form

x = 4. \dot{4}

Show Solution