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

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

Simplifying
(7x + y)(7x + -1y) = 0

Multiply (7x + y) * (7x + -1y)
(7x * (7x + -1y) + y(7x + -1y)) = 0
((7x * 7x + -1y * 7x) + y(7x + -1y)) = 0

Reorder the terms:
((-7xy + 49x2) + y(7x + -1y)) = 0
((-7xy + 49x2) + y(7x + -1y)) = 0
(-7xy + 49x2 + (7x * y + -1y * y)) = 0
(-7xy + 49x2 + (7xy + -1y2)) = 0

Reorder the terms:
(-7xy + 7xy + 49x2 + -1y2) = 0

Combine like terms: -7xy + 7xy = 0
(0 + 49x2 + -1y2) = 0
(49x2 + -1y2) = 0

Solving
49x2 + -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.
49x2 + -1y2 + y2 = 0 + y2

Combine like terms: -1y2 + y2 = 0
49x2 + 0 = 0 + y2
49x2 = 0 + y2
Remove the zero:
49x2 = y2

Divide each side by '49'.
x2 = 0.02040816327y2

Simplifying
x2 = 0.02040816327y2

Take the square root of each side:
x = {-0.142857143y, 0.142857143y}