Answer:
x = (-3 ±√41)/8
Step-by-step explanation:
When you match your equation to the form ...
... ax² +bx +c = 0
you can see that ...
These are the values you use in the quadratic formua to find the solutions for x.
... x = (-b ±√(b²-4ac))/(2a) . . . . . . the quadratic formula
... x = (-(-3) ±√((-3)² -4(-4)(2)))/(2(-4)) . . . . fill in a, b, c
... x = (3 ±√(9+32))/(-8) . . . . simplify a bit
... x = (-3 ±√41)/8 . . . . . . put the minus sign in the numerator