(7x+2y)(7x-2y)=

Solution for (7x+2y)(7x-2y)= equation:

Simplifying
(7x + 2y)(7x + -2y) = 0

Multiply (7x + 2y) * (7x + -2y)
(7x * (7x + -2y) + 2y * (7x + -2y)) = 0
((7x * 7x + -2y * 7x) + 2y * (7x + -2y)) = 0

Reorder the terms:
((-14xy + 49x2) + 2y * (7x + -2y)) = 0
((-14xy + 49x2) + 2y * (7x + -2y)) = 0
(-14xy + 49x2 + (7x * 2y + -2y * 2y)) = 0
(-14xy + 49x2 + (14xy + -4y2)) = 0

Reorder the terms:
(-14xy + 14xy + 49x2 + -4y2) = 0

Combine like terms: -14xy + 14xy = 0
(0 + 49x2 + -4y2) = 0
(49x2 + -4y2) = 0

Solving
49x2 + -4y2 = 0

Solving for variable 'x'.

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

Add '4y2' to each side of the equation.
49x2 + -4y2 + 4y2 = 0 + 4y2

Combine like terms: -4y2 + 4y2 = 0
49x2 + 0 = 0 + 4y2
49x2 = 0 + 4y2
Remove the zero:
49x2 = 4y2

Divide each side by '49'.
x2 = 0.08163265306y2

Simplifying
x2 = 0.08163265306y2

Take the square root of each side:
x = {-0.285714286y, 0.285714286y}