Question

How do you solve `3x² + 7x = -2`?

Answer 1

By using the quadratic formula , you get `{-2, -1/3}`

Explanation:

The easiest way to solve a quadratic equation, is by using the quadratic formula. When you have a quadratic equation of the form
`ax^2+bx+c=0`, you can find the solutions by using the equation:
`x = (-b+-sqrt(b^2-4ac))/(2a)`

So first we need to convert your equation to that form:
`3x^+7x=−2`
`3x^2+7x+2 = 0`

So, in this case `a=3, b=7` and `c=2`. If you fill this in in the quadratic formula, you get:

`x = (-7+-sqrt(7^2-4*3*2))/(2*3)`

If you calculate it (once with a mins sign, once with a plus sign), you get:

`x_1=-2`
`x_2=-1/3`