Question

What are the solutions to the equation 3x^2+10x=8?

1. 2/3 and -4
2. -2/3 and 4
3. 4/3 and -2
4. -4/3 and 2

Answer 1

Option A

Explanation:

`3x^2 + 10x = 8`

Let start by subtracting `8` from both sides:

`3x^2 + 10x - 8 = 8 - 8`

`3x^2 + 10x = 0`

Now we can factorize the left side

`(3x - 2)(x + 4)=0`

Then set factors equal to `0`

#3x - 2 = 0 or x + 4 = 0

`3x = 0 + 2 or x = 0 - 4`

`3x = 2 or x = -4`

`x = 3/2 or x = -4`

Thus,

The answer is option A