(3x+4y)(3x+4y)-(3x-4y)(3x-4y)=0

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Solution for (3x+4y)(3x+4y)-(3x-4y)(3x-4y)=0 equation: 


Simplifying
(3x + 4y)(3x + 4y) + -1(3x + -4y)(3x + -4y) = 0

Multiply (3x + 4y) * (3x + 4y)
(3x * (3x + 4y) + 4y * (3x + 4y)) + -1(3x + -4y)(3x + -4y) = 0
((3x * 3x + 4y * 3x) + 4y * (3x + 4y)) + -1(3x + -4y)(3x + -4y) = 0

Reorder the terms:
((12xy + 9x2) + 4y * (3x + 4y)) + -1(3x + -4y)(3x + -4y) = 0
((12xy + 9x2) + 4y * (3x + 4y)) + -1(3x + -4y)(3x + -4y) = 0
(12xy + 9x2 + (3x * 4y + 4y * 4y)) + -1(3x + -4y)(3x + -4y) = 0
(12xy + 9x2 + (12xy + 16y2)) + -1(3x + -4y)(3x + -4y) = 0

Reorder the terms:
(12xy + 12xy + 9x2 + 16y2) + -1(3x + -4y)(3x + -4y) = 0

Combine like terms: 12xy + 12xy = 24xy
(24xy + 9x2 + 16y2) + -1(3x + -4y)(3x + -4y) = 0

Multiply (3x + -4y) * (3x + -4y)
24xy + 9x2 + 16y2 + -1(3x * (3x + -4y) + -4y * (3x + -4y)) = 0
24xy + 9x2 + 16y2 + -1((3x * 3x + -4y * 3x) + -4y * (3x + -4y)) = 0

Reorder the terms:
24xy + 9x2 + 16y2 + -1((-12xy + 9x2) + -4y * (3x + -4y)) = 0
24xy + 9x2 + 16y2 + -1((-12xy + 9x2) + -4y * (3x + -4y)) = 0
24xy + 9x2 + 16y2 + -1(-12xy + 9x2 + (3x * -4y + -4y * -4y)) = 0
24xy + 9x2 + 16y2 + -1(-12xy + 9x2 + (-12xy + 16y2)) = 0

Reorder the terms:
24xy + 9x2 + 16y2 + -1(-12xy + -12xy + 9x2 + 16y2) = 0

Combine like terms: -12xy + -12xy = -24xy
24xy + 9x2 + 16y2 + -1(-24xy + 9x2 + 16y2) = 0
24xy + 9x2 + 16y2 + (-24xy * -1 + 9x2 * -1 + 16y2 * -1) = 0
24xy + 9x2 + 16y2 + (24xy + -9x2 + -16y2) = 0

Reorder the terms:
24xy + 24xy + 9x2 + -9x2 + 16y2 + -16y2 = 0

Combine like terms: 24xy + 24xy = 48xy
48xy + 9x2 + -9x2 + 16y2 + -16y2 = 0

Combine like terms: 9x2 + -9x2 = 0
48xy + 0 + 16y2 + -16y2 = 0
48xy + 16y2 + -16y2 = 0

Combine like terms: 16y2 + -16y2 = 0
48xy + 0 = 0
48xy = 0

Solving
48xy = 0

Solving for variable 'x'.

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

Divide each side by '48'.
xy = 0

Simplifying
xy = 0

The solution to this equation could not be determined.

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