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
Gazza
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

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