Solve 4x(2x+4(6x-8x))

Question

Simplify the expression

- 24 x^{2}

Evaluate

4 x (2 x + 4 (6 x - 8 x))

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

4 x (2 x + 4 (- 2 x))

Multiply the numbers

More Steps

Evaluate

4 (- 2)

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

- 4 \times 2

Multiply the numbers

- 8

4 x (2 x - 8 x)

Subtract the terms

More Steps

Evaluate

2 x - 8 x

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

(2 - 8) x

Subtract the numbers

- 6 x

4 x (- 6 x)

Rewrite the expression

- 4 x \times 6 x

Multiply the terms

- 24 x \times x

Solution

- 24 x^{2}

Show Solution

Find the roots

x = 0

Evaluate

4 x (2 x + 4 (6 x - 8 x))

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

4 x (2 x + 4 (6 x - 8 x)) = 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

4 x (2 x + 4 (- 2 x)) = 0

Multiply the numbers

More Steps

Evaluate

4 (- 2)

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

- 4 \times 2

Multiply the numbers

- 8

4 x (2 x - 8 x) = 0

Subtract the terms

More Steps

Evaluate

2 x - 8 x

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

(2 - 8) x

Subtract the numbers

- 6 x

4 x (- 6 x) = 0

Multiply

More Steps

Multiply the terms

4 x (- 6 x)

Rewrite the expression

- 4 x \times 6 x

Multiply the terms

- 24 x \times x

Multiply the terms

- 24 x^{2}

- 24 x^{2} = 0

Change the signs on both sides of the equation

24 x^{2} = 0

Rewrite the expression

x^{2} = 0

Solution

x = 0

Show Solution