(3x-y)(3x+y)=20

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Solution for (3x-y)(3x+y)=20 equation: 


Simplifying
(3x + -1y)(3x + y) = 20

Multiply (3x + -1y) * (3x + y)
(3x * (3x + y) + -1y * (3x + y)) = 20
((3x * 3x + y * 3x) + -1y * (3x + y)) = 20

Reorder the terms:
((3xy + 9x2) + -1y * (3x + y)) = 20
((3xy + 9x2) + -1y * (3x + y)) = 20
(3xy + 9x2 + (3x * -1y + y * -1y)) = 20
(3xy + 9x2 + (-3xy + -1y2)) = 20

Reorder the terms:
(3xy + -3xy + 9x2 + -1y2) = 20

Combine like terms: 3xy + -3xy = 0
(0 + 9x2 + -1y2) = 20
(9x2 + -1y2) = 20

Solving
9x2 + -1y2 = 20

Solving for variable 'x'.

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

Add 'y2' to each side of the equation.
9x2 + -1y2 + y2 = 20 + y2

Combine like terms: -1y2 + y2 = 0
9x2 + 0 = 20 + y2
9x2 = 20 + y2

Divide each side by '9'.
x2 = 2.222222222 + 0.1111111111y2

Simplifying
x2 = 2.222222222 + 0.1111111111y2

Reorder the terms:
-2.222222222 + x2 + -0.1111111111y2 = 2.222222222 + 0.1111111111y2 + -2.222222222 + -0.1111111111y2

Reorder the terms:
-2.222222222 + x2 + -0.1111111111y2 = 2.222222222 + -2.222222222 + 0.1111111111y2 + -0.1111111111y2

Combine like terms: 2.222222222 + -2.222222222 = 0.000000000
-2.222222222 + x2 + -0.1111111111y2 = 0.000000000 + 0.1111111111y2 + -0.1111111111y2
-2.222222222 + x2 + -0.1111111111y2 = 0.1111111111y2 + -0.1111111111y2

Combine like terms: 0.1111111111y2 + -0.1111111111y2 = 0.0000000000
-2.222222222 + x2 + -0.1111111111y2 = 0.0000000000

The solution to this equation could not be determined.

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