Solve (2x)(6x-2x-2)

Question

Simplify the expression

8 x^{2} - 4 x

Evaluate

2 x (6 x - 2 x - 2)

Subtract the terms

More Steps

Evaluate

6 x - 2 x

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

(6 - 2) x

Subtract the numbers

4 x

2 x (4 x - 2)

Apply the distributive property

2 x \times 4 x - 2 x \times 2

Multiply the terms

More Steps

Evaluate

2 x \times 4 x

Multiply the numbers

8 x \times x

Multiply the terms

8 x^{2}

8 x^{2} - 2 x \times 2

Solution

8 x^{2} - 4 x

Show Solution

4 x (2 x - 1)

Evaluate

2 x (6 x - 2 x - 2)

Subtract the terms

More Steps

Evaluate

6 x - 2 x

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

(6 - 2) x

Subtract the numbers

4 x

2 x (4 x - 2)

Factor the expression

2 x \times 2 (2 x - 1)

Solution

4 x (2 x - 1)

Show Solution

x_{1} = 0, x_{2} = \frac{1}{2}

Alternative Form

x_{1} = 0, x_{2} = 0.5

Evaluate

(2 x) (6 x - 2 x - 2)

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

(2 x) (6 x - 2 x - 2) = 0

Multiply the terms

2 x (6 x - 2 x - 2) = 0

Subtract the terms

More Steps

Simplify

6 x - 2 x

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

(6 - 2) x

Subtract the numbers

4 x

2 x (4 x - 2) = 0

Elimination the left coefficient

x (4 x - 2) = 0

Separate the equation into 2 possible cases

x = 0 4 x - 2 = 0

Solve the equation

More Steps

Evaluate

4 x - 2 = 0

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

4 x = 0 + 2

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

4 x = 2

Divide both sides

\frac{4 x}{4} = \frac{2}{4}

Divide the numbers

x = \frac{2}{4}

Cancel out the common factor 2

x = \frac{1}{2}

x = 0 x = \frac{1}{2}

Solution

x_{1} = 0, x_{2} = \frac{1}{2}

Alternative Form

x_{1} = 0, x_{2} = 0.5

Show Solution