(4x+y)(4x-y)=

Solution for (4x+y)(4x-y)= equation:

Simplifying
(4x + y)(4x + -1y) = 0

Multiply (4x + y) * (4x + -1y)
(4x * (4x + -1y) + y(4x + -1y)) = 0
((4x * 4x + -1y * 4x) + y(4x + -1y)) = 0

Reorder the terms:
((-4xy + 16x2) + y(4x + -1y)) = 0
((-4xy + 16x2) + y(4x + -1y)) = 0
(-4xy + 16x2 + (4x * y + -1y * y)) = 0
(-4xy + 16x2 + (4xy + -1y2)) = 0

Reorder the terms:
(-4xy + 4xy + 16x2 + -1y2) = 0

Combine like terms: -4xy + 4xy = 0
(0 + 16x2 + -1y2) = 0
(16x2 + -1y2) = 0

Solving
16x2 + -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.
16x2 + -1y2 + y2 = 0 + y2

Combine like terms: -1y2 + y2 = 0
16x2 + 0 = 0 + y2
16x2 = 0 + y2
Remove the zero:
16x2 = y2

Divide each side by '16'.
x2 = 0.0625y2

Simplifying
x2 = 0.0625y2

Take the square root of each side:
x = {-0.25y, 0.25y}