Find all values of x such that 3x^2 14x 8 = 0. If you find more than one value, then list your solutions, separated by commas.

Guest Jul 7, 2023

#1**0 **

We can factor the quadratic equation 3x^2 + 14x + 8 as follows:

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

This means that either 3x + 2 = 0 or x - 4 = 0. Solving for x in each case, we get x = -4/3 or x = 4. Therefore, the solutions to the equation 3x^2 + 14x + 8 = 0 are x = **-4/3, 4.**

Guest Jul 7, 2023

#2**0 **

*Find all values of x such that 3x^2 14x 8 = 0. If you find more than one value, then list your solutions, separated by commas.*

My monitor isn't displaying the signs between terms.

I'm assuming that they should have been plus signs.

Like this

3x^{2} + 14x + 8 = 0

Factor the equation

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

Set each factor = zero

3x + 2 = 0 which means x = –3/2

x + 4 = 0 which means x = –4

Separated by commas

x = **(–3/2, –4)**

If the polarity of 14x was

supposed to be negative,

and polarity of 8 positive,

then change the minuses

in the answer to pluses.

_{.}

Bosco Jul 7, 2023