(3x-4y)(3x+4y)=2

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Solution for (3x-4y)(3x+4y)=2 equation: 


Simplifying
(3x + -4y)(3x + 4y) = 2

Multiply (3x + -4y) * (3x + 4y)
(3x * (3x + 4y) + -4y * (3x + 4y)) = 2
((3x * 3x + 4y * 3x) + -4y * (3x + 4y)) = 2

Reorder the terms:
((12xy + 9x2) + -4y * (3x + 4y)) = 2
((12xy + 9x2) + -4y * (3x + 4y)) = 2
(12xy + 9x2 + (3x * -4y + 4y * -4y)) = 2
(12xy + 9x2 + (-12xy + -16y2)) = 2

Reorder the terms:
(12xy + -12xy + 9x2 + -16y2) = 2

Combine like terms: 12xy + -12xy = 0
(0 + 9x2 + -16y2) = 2
(9x2 + -16y2) = 2

Solving
9x2 + -16y2 = 2

Solving for variable 'x'.

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

Add '16y2' to each side of the equation.
9x2 + -16y2 + 16y2 = 2 + 16y2

Combine like terms: -16y2 + 16y2 = 0
9x2 + 0 = 2 + 16y2
9x2 = 2 + 16y2

Divide each side by '9'.
x2 = 0.2222222222 + 1.777777778y2

Simplifying
x2 = 0.2222222222 + 1.777777778y2

Reorder the terms:
-0.2222222222 + x2 + -1.777777778y2 = 0.2222222222 + 1.777777778y2 + -0.2222222222 + -1.777777778y2

Reorder the terms:
-0.2222222222 + x2 + -1.777777778y2 = 0.2222222222 + -0.2222222222 + 1.777777778y2 + -1.777777778y2

Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000
-0.2222222222 + x2 + -1.777777778y2 = 0.0000000000 + 1.777777778y2 + -1.777777778y2
-0.2222222222 + x2 + -1.777777778y2 = 1.777777778y2 + -1.777777778y2

Combine like terms: 1.777777778y2 + -1.777777778y2 = 0.000000000
-0.2222222222 + x2 + -1.777777778y2 = 0.000000000

The solution to this equation could not be determined.

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