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

1 Answer
May 24, 2018

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