Question

How do you solve `2m^2+10=210`?

Answer 1

`color(purple)("m = 10`

Explanation:

`color(magenta)("Subtract 10 on both sides of the equation:"`
`2m^(2)+cancel10=210`
`color(white)(aaaa) cancel-10 -10`

On the left side you should be left with 2m^(2), and on the right side you are left with 200:

`2m^(2)= 200`

Next, divide both sides both 2 in order to get the variable and constant on opposite sides of the equals sign. This will allow you to solve for `m` in the next few steps:

`(cancel2m^(2))/cancel2= 200/2`

The 2's cancel out, leaving you with `m^(2)` equal to 100

`m^(2) = 100`

In order to get rid of `m^(2)` to solve for just `m`, you will need to take the square root on both sides of the equation, since the square root is the inverse of a number that's squared:

`sqrtm^(2) = sqrt100`

After you square both sides, you are left with `m` on the left and 10 on the right.

Thus,
`color(purple)("m = 10`