Question

For which values of x does 2x^2=10x?

Answer 1

x = 0; x = 5

Explanation:

2x² = 10x

2x² - 10x = 0

2x(x - 5) = 0

x = 0; x = 5

Answer 2

The values of x for which it is true that
`2x^2=10x` are:

`x = 0` and
`x = 5`

Explanation:

We have the following equation

`2x^2=10x`

To solve the equation subtract 10x on both sides of the equation

`2x^2-10x=10x-10x`

`2x^2-10x=0`

Now take the variable x as a common factor

`2x(x-5)=0`

Then the equation is equal to 0 when x = 0 or when x = 5

`x = 0` and
`x = 5`