Question

X (2x - 4) = (2x + 1) (x - 2) solve

Answer 1

2

Explanation:

First distribute the first x into the first parenthesis: x (2x - 4) = (2x + 1) (x - 2)

x times 2x is
`2x^(2)` and x times -4 is -4x

This changes the equation to:
`2x^(2)`-4x = (2x + 1) (x - 2)

Now multiply the other parentheses:
`2x^(2)`-4x = (2x + 1) (x - 2)

Do this by using the Foil method (I attached a picture of the method if you don't know it)

First: (2x + 1) (x - 2)

Do 2x times x which =
`2x^(2)`

Then 2x times -2 which = -4x

Then 1 times x which = x

Lastly, 1 times -2 which = -2

The order you do this is the order that the foil method says.

Now the equation is:

`2x^(2)`-4x =
`2x^(2)`-4x+x-2 (I just added all the numbers we just got)
Next cancel out the equal terms. To combine like terms you'd usually move the right
`2x^(2)` over to the left one and subtract it. But since they are the same number, subtracting it would leave you with 0. So you can just get rid of both.

You can also do this with both -4x

This leaves you with:

0=x-2

Now you move the variable to the left

you also make it negative since it is going to the other side of the =

this leaves: -x=-2

You can't have a negative x so now you have to change the signs for both. Make them both positive.

Now you have x=2

so your answer is 2

Answer 2

If your solving for x then it’ll be x=2