(3x+7y)(3x+7y)-(3x-7y)(3x-7y)=0

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Solution for (3x+7y)(3x+7y)-(3x-7y)(3x-7y)=0 equation: 


Simplifying
(3x + 7y)(3x + 7y) + -1(3x + -7y)(3x + -7y) = 0

Multiply (3x + 7y) * (3x + 7y)
(3x * (3x + 7y) + 7y * (3x + 7y)) + -1(3x + -7y)(3x + -7y) = 0
((3x * 3x + 7y * 3x) + 7y * (3x + 7y)) + -1(3x + -7y)(3x + -7y) = 0

Reorder the terms:
((21xy + 9x2) + 7y * (3x + 7y)) + -1(3x + -7y)(3x + -7y) = 0
((21xy + 9x2) + 7y * (3x + 7y)) + -1(3x + -7y)(3x + -7y) = 0
(21xy + 9x2 + (3x * 7y + 7y * 7y)) + -1(3x + -7y)(3x + -7y) = 0
(21xy + 9x2 + (21xy + 49y2)) + -1(3x + -7y)(3x + -7y) = 0

Reorder the terms:
(21xy + 21xy + 9x2 + 49y2) + -1(3x + -7y)(3x + -7y) = 0

Combine like terms: 21xy + 21xy = 42xy
(42xy + 9x2 + 49y2) + -1(3x + -7y)(3x + -7y) = 0

Multiply (3x + -7y) * (3x + -7y)
42xy + 9x2 + 49y2 + -1(3x * (3x + -7y) + -7y * (3x + -7y)) = 0
42xy + 9x2 + 49y2 + -1((3x * 3x + -7y * 3x) + -7y * (3x + -7y)) = 0

Reorder the terms:
42xy + 9x2 + 49y2 + -1((-21xy + 9x2) + -7y * (3x + -7y)) = 0
42xy + 9x2 + 49y2 + -1((-21xy + 9x2) + -7y * (3x + -7y)) = 0
42xy + 9x2 + 49y2 + -1(-21xy + 9x2 + (3x * -7y + -7y * -7y)) = 0
42xy + 9x2 + 49y2 + -1(-21xy + 9x2 + (-21xy + 49y2)) = 0

Reorder the terms:
42xy + 9x2 + 49y2 + -1(-21xy + -21xy + 9x2 + 49y2) = 0

Combine like terms: -21xy + -21xy = -42xy
42xy + 9x2 + 49y2 + -1(-42xy + 9x2 + 49y2) = 0
42xy + 9x2 + 49y2 + (-42xy * -1 + 9x2 * -1 + 49y2 * -1) = 0
42xy + 9x2 + 49y2 + (42xy + -9x2 + -49y2) = 0

Reorder the terms:
42xy + 42xy + 9x2 + -9x2 + 49y2 + -49y2 = 0

Combine like terms: 42xy + 42xy = 84xy
84xy + 9x2 + -9x2 + 49y2 + -49y2 = 0

Combine like terms: 9x2 + -9x2 = 0
84xy + 0 + 49y2 + -49y2 = 0
84xy + 49y2 + -49y2 = 0

Combine like terms: 49y2 + -49y2 = 0
84xy + 0 = 0
84xy = 0

Solving
84xy = 0

Solving for variable 'x'.

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

Divide each side by '84'.
xy = 0

Simplifying
xy = 0

The solution to this equation could not be determined.

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