(2x+y)(2x-y)=

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

Simplifying
(2x + y)(2x + -1y) = 0

Multiply (2x + y) * (2x + -1y)
(2x * (2x + -1y) + y(2x + -1y)) = 0
((2x * 2x + -1y * 2x) + y(2x + -1y)) = 0

Reorder the terms:
((-2xy + 4x2) + y(2x + -1y)) = 0
((-2xy + 4x2) + y(2x + -1y)) = 0
(-2xy + 4x2 + (2x * y + -1y * y)) = 0
(-2xy + 4x2 + (2xy + -1y2)) = 0

Reorder the terms:
(-2xy + 2xy + 4x2 + -1y2) = 0

Combine like terms: -2xy + 2xy = 0
(0 + 4x2 + -1y2) = 0
(4x2 + -1y2) = 0

Solving
4x2 + -1y2 = 0

Solving for variable 'x'.

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

Add 'y2' to each side of the equation.
4x2 + -1y2 + y2 = 0 + y2

Combine like terms: -1y2 + y2 = 0
4x2 + 0 = 0 + y2
4x2 = 0 + y2
Remove the zero:
4x2 = y2

Divide each side by '4'.
x2 = 0.25y2

Simplifying
x2 = 0.25y2

Take the square root of each side:
x = {-0.5y, 0.5y}