Verified answer

It's simple algebra. To the inverse operation from the left side to the right side. But if you want to do anything with x, keep by itself.

2x² + 5 = 2

1) Subtract 5 from 2:

2x² = -3

2) Divide 2 because its multiplying itself by x²

x² = -3 / 2

3) Do the square root of x because the inverse of x² is √x

x = √( - 3 / 2 )

You can keep x as √( - 3 / 2 ) or i√( 3 / 2 ) or 1.22474i

2x^2+5-2=0

2x^2+3=0

2x^2=0-3

2x^2=-3

divide both sides by 2

x^2=-3/2

then square root that

2x^2+5=2

2x^2=-3

x^2=-3/2

x=+-[sqrt3/sqrt2]i = +-i*(sqrt6)/2