Question

How do you solve `2(3g+2)=1/2(12g+8)`?

Answer 1

Infinitely many solutions, or `(-oo, oo)`, or all real numbers

Explanation:

`2(3g+2) = 1/2(12g+8)`

First, multiply both sides by `2`:
`4(3g+2) = 12g + 8`

Now, let's expand and distribute (multiply) the `4` to everything in the parenthesis:
`4 * 3g = 12g`

`4 * 2 = 8`

So when we combine it we get:
`12g + 8`

Let's put that back into the equation:
`12g + 8 = 12g + 8`

As you can see, both sides of the equation are the same. When this happens, that means that there are infinitely many solutions, or `(-oo, oo)`, or all real numbers . Any "real" numbers or non-imaginary will fulfill the solution.

Hope this helps!