Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the solution set. $3x^2 + x = 2$ separate the two values with a co…

Question

find the solution set.
$3x^2 + x = 2$
separate the two values with a comma.
enter the correct answer.

Explanation:

Step1: Rewrite to standard quadratic form

$3x^2 + x - 2 = 0$

Step2: Factor the quadratic expression

$(3x - 2)(x + 1) = 0$

Step3: Solve for each factor

Set $3x - 2 = 0$: $x = \frac{2}{3}$
Set $x + 1 = 0$: $x = -1$

Answer:

$-1, \frac{2}{3}$