(3x+5y)(3x-5y)=equation

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Solution for (3x+5y)(3x-5y)=equation equation: 


Simplifying
(3x + 5y)(3x + -5y) = equation

Multiply (3x + 5y) * (3x + -5y)
(3x * (3x + -5y) + 5y * (3x + -5y)) = equation
((3x * 3x + -5y * 3x) + 5y * (3x + -5y)) = equation

Reorder the terms:
((-15xy + 9x2) + 5y * (3x + -5y)) = equation
((-15xy + 9x2) + 5y * (3x + -5y)) = equation
(-15xy + 9x2 + (3x * 5y + -5y * 5y)) = equation
(-15xy + 9x2 + (15xy + -25y2)) = equation

Reorder the terms:
(-15xy + 15xy + 9x2 + -25y2) = equation

Combine like terms: -15xy + 15xy = 0
(0 + 9x2 + -25y2) = equation
(9x2 + -25y2) = equation

Solving
9x2 + -25y2 = aeinoqtu

Solving for variable 'x'.

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

Add '25y2' to each side of the equation.
9x2 + -25y2 + 25y2 = aeinoqtu + 25y2

Combine like terms: -25y2 + 25y2 = 0
9x2 + 0 = aeinoqtu + 25y2
9x2 = aeinoqtu + 25y2

Divide each side by '9'.
x2 = 0.1111111111aeinoqtu + 2.777777778y2

Simplifying
x2 = 0.1111111111aeinoqtu + 2.777777778y2

Reorder the terms:
-0.1111111111aeinoqtu + x2 + -2.777777778y2 = 0.1111111111aeinoqtu + 2.777777778y2 + -0.1111111111aeinoqtu + -2.777777778y2

Reorder the terms:
-0.1111111111aeinoqtu + x2 + -2.777777778y2 = 0.1111111111aeinoqtu + -0.1111111111aeinoqtu + 2.777777778y2 + -2.777777778y2

Combine like terms: 0.1111111111aeinoqtu + -0.1111111111aeinoqtu = 0.0000000000
-0.1111111111aeinoqtu + x2 + -2.777777778y2 = 0.0000000000 + 2.777777778y2 + -2.777777778y2
-0.1111111111aeinoqtu + x2 + -2.777777778y2 = 2.777777778y2 + -2.777777778y2

Combine like terms: 2.777777778y2 + -2.777777778y2 = 0.000000000
-0.1111111111aeinoqtu + x2 + -2.777777778y2 = 0.000000000

The solution to this equation could not be determined.

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