(y+2)(y-2)+2y^2=

Solution for (y+2)(y-2)+2y^2= equation:

Simplifying
(y + 2)(y + -2) + 2y2 = 0

Reorder the terms:
(2 + y)(y + -2) + 2y2 = 0

Reorder the terms:
(2 + y)(-2 + y) + 2y2 = 0

Multiply (2 + y) * (-2 + y)
(2(-2 + y) + y(-2 + y)) + 2y2 = 0
((-2 * 2 + y * 2) + y(-2 + y)) + 2y2 = 0
((-4 + 2y) + y(-2 + y)) + 2y2 = 0
(-4 + 2y + (-2 * y + y * y)) + 2y2 = 0
(-4 + 2y + (-2y + y2)) + 2y2 = 0

Combine like terms: 2y + -2y = 0
(-4 + 0 + y2) + 2y2 = 0
(-4 + y2) + 2y2 = 0

Combine like terms: y2 + 2y2 = 3y2
-4 + 3y2 = 0

Solving
-4 + 3y2 = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + 3y2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3y2 = 0 + 4
3y2 = 0 + 4

Combine like terms: 0 + 4 = 4
3y2 = 4

Divide each side by '3'.
y2 = 1.333333333

Simplifying
y2 = 1.333333333

Take the square root of each side:
y = {-1.154700538, 1.154700538}