Use the quadratic formula to solve for x
3x^2+6x+2=0
(If there is more than one solution, separate them with commas.)
Applying the quadratic formula to the equation 3x^2 + 6x + 2 = 0, we have:
x = (-b ± √(b^2 - 4ac)) / 2a
Where a = 3, b = 6, and c = 2.
Substitute these values into the formula:
x = (-6 ± √(6^2 - 4 * 3 * 2)) / 2 * 3
x = (-6 ± √(36 - 24)) / 6
x = (-6 ± √12) / 6
Simplify the square root:
x = (-6 ± √(4 * 3)) / 6
x = (-6 ± 2√3) / 6
x = -1 ± √3/3
Therefore, the solutions for x are:
x = (-1 + √3)/3, (-1 - √3)/3