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

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Solution for (7x+2y)(7x+2y)-(7x-2y)(7x-2y)=0 equation: 


Simplifying
(7x + 2y)(7x + 2y) + -1(7x + -2y)(7x + -2y) = 0

Multiply (7x + 2y) * (7x + 2y)
(7x * (7x + 2y) + 2y * (7x + 2y)) + -1(7x + -2y)(7x + -2y) = 0
((7x * 7x + 2y * 7x) + 2y * (7x + 2y)) + -1(7x + -2y)(7x + -2y) = 0

Reorder the terms:
((14xy + 49x2) + 2y * (7x + 2y)) + -1(7x + -2y)(7x + -2y) = 0
((14xy + 49x2) + 2y * (7x + 2y)) + -1(7x + -2y)(7x + -2y) = 0
(14xy + 49x2 + (7x * 2y + 2y * 2y)) + -1(7x + -2y)(7x + -2y) = 0
(14xy + 49x2 + (14xy + 4y2)) + -1(7x + -2y)(7x + -2y) = 0

Reorder the terms:
(14xy + 14xy + 49x2 + 4y2) + -1(7x + -2y)(7x + -2y) = 0

Combine like terms: 14xy + 14xy = 28xy
(28xy + 49x2 + 4y2) + -1(7x + -2y)(7x + -2y) = 0

Multiply (7x + -2y) * (7x + -2y)
28xy + 49x2 + 4y2 + -1(7x * (7x + -2y) + -2y * (7x + -2y)) = 0
28xy + 49x2 + 4y2 + -1((7x * 7x + -2y * 7x) + -2y * (7x + -2y)) = 0

Reorder the terms:
28xy + 49x2 + 4y2 + -1((-14xy + 49x2) + -2y * (7x + -2y)) = 0
28xy + 49x2 + 4y2 + -1((-14xy + 49x2) + -2y * (7x + -2y)) = 0
28xy + 49x2 + 4y2 + -1(-14xy + 49x2 + (7x * -2y + -2y * -2y)) = 0
28xy + 49x2 + 4y2 + -1(-14xy + 49x2 + (-14xy + 4y2)) = 0

Reorder the terms:
28xy + 49x2 + 4y2 + -1(-14xy + -14xy + 49x2 + 4y2) = 0

Combine like terms: -14xy + -14xy = -28xy
28xy + 49x2 + 4y2 + -1(-28xy + 49x2 + 4y2) = 0
28xy + 49x2 + 4y2 + (-28xy * -1 + 49x2 * -1 + 4y2 * -1) = 0
28xy + 49x2 + 4y2 + (28xy + -49x2 + -4y2) = 0

Reorder the terms:
28xy + 28xy + 49x2 + -49x2 + 4y2 + -4y2 = 0

Combine like terms: 28xy + 28xy = 56xy
56xy + 49x2 + -49x2 + 4y2 + -4y2 = 0

Combine like terms: 49x2 + -49x2 = 0
56xy + 0 + 4y2 + -4y2 = 0
56xy + 4y2 + -4y2 = 0

Combine like terms: 4y2 + -4y2 = 0
56xy + 0 = 0
56xy = 0

Solving
56xy = 0

Solving for variable 'x'.

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

Divide each side by '56'.
xy = 0

Simplifying
xy = 0

The solution to this equation could not be determined.

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