Answer
y=$\frac{-2±5i}{4}$
Work Step by Step
Original Equation
(4y+2)²=-25
Take the square root of both sides
4y+2=±$\sqrt -25$
Simplify the radical
4y+2=±5i
Subtract 2 from both sides
4y=-2±5i
Divide both sides by 4
y=$\frac{-2±5i}{4}$