Find all real solutions of the equation Enter your answers a

Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.)

7x² + 2x + 2 = 0

7x^2+2x+2 = 0

applying quadratic formula to solve the quadratic equation

a = 7 , b = 2 , c = 2

quadratic formula is

x = { -b + - sqrt (b^2-4ac) } / 2a

plugging the values in the formula we get

x = { - 2 + - sqrt ( 4 - 56 ) } / 14

x = {-2 + - sqrt (-52) } 14

on solving we get

x = {-1 + - sqrt 13 i } / 7

two solutions are

x1 = { -1 + sqrt 13 i ) / 7

x2 = { -1 - sqrt 13 i ) / 7

there are no real solutions, only imaginary solutions