Solve by the quadratic formula. List the solutions, separated by commas.
$3 x^{2} + 1 x - 10 = 0$
$x =$
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Final Answer: The solutions to the equation are $1.67$ and $- 2.0$ .

Steps

Step 1 ：Given the quadratic equation $3 x^{2} + x - 10 = 0$ , we can identify the coefficients as $a = 3$ , $b = 1$ , and $c = - 10$ .

Step 2 ：We can substitute these values into the quadratic formula $x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$ .

Step 3 ：Calculate the discriminant $D = b^{2} - 4 a c = 121$ .

Step 4 ：Substitute $a$ , $b$ , and $D$ into the quadratic formula to find the solutions for $x$ .

Step 5 ：The solutions to the equation are $x 1 = 1.67$ and $x 2 = - 2.0$ .

Step 6 ：Final Answer: The solutions to the equation are $1.67$ and $- 2.0$ .