Question

How do you solve the equation: `6h^2=3h`?

Answer 1

There are two solution: `h=0, 1/2`

Explanation:

`6h^2=3h`

It may be tempting to divide by `3h` ot by `h`, but do not divide by an expression involving the variable. (That's the simplest policy to adopt.)

Instead of dividing, collect the terms on one side and factor:

`6h^2 = 3h`

`6h^2-3h = 0`

`3h(2h-1) = 0`

So we need:

`3h = 0` `color(white)"xx"` or `color(white)"xx"` `2h-1 =0`

So, we get:
`h = 0` `color(white)"xx"` or `color(white)"xx"` `h =1/2`