Answer:
x = ±i sqrt(3/2)
Step-by-step explanation:
2x^2+7 = 4
Subtract 7 from each side
2x^2+7-7 = 4-7
2x^2 = -3
Divide by 2 on each side
2x^2/2 = -3/2
x^2 = -3/2
There is no real solution, only imaginary solutions
Taking the square root of each side
sqrt(x^2) = sqrt(-3/2)
x = ±i sqrt(3/2)
