Question

Solve for x. Write both solutions, separated by a
comma.
6x2 + 5x - 14 = 0​

Answer 1

`x=(7)/(6)` and
`x =-2`

Explanation:

To solve for x, you must factor the equation first.

Factoring

`6x^(2) +5x-14=0`

*note - the constant number (14) is negative, which means that there must be a negative and a positive when factoring*

(6x - 7)(1x + 2)

When you multiply what is factored above, you get your original equation

Solving for x

As you may know, you will have two x answers.

(6x - 7) = 0 and (1x + 2) = 0

6x - 7 = 0 add 7 to both sides to get 6x alone

6x = 7 divide both sides by 6 to get x

x = 7/6

1x + 2 = 0 subtract 2 from both sides to get 1x alone

1x = -2 divide both sides by 1 to get x

x = -2