(3x-y)(3x+y)=30

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Solution for (3x-y)(3x+y)=30 equation: 


Simplifying
(3x + -1y)(3x + y) = 30

Multiply (3x + -1y) * (3x + y)
(3x * (3x + y) + -1y * (3x + y)) = 30
((3x * 3x + y * 3x) + -1y * (3x + y)) = 30

Reorder the terms:
((3xy + 9x2) + -1y * (3x + y)) = 30
((3xy + 9x2) + -1y * (3x + y)) = 30
(3xy + 9x2 + (3x * -1y + y * -1y)) = 30
(3xy + 9x2 + (-3xy + -1y2)) = 30

Reorder the terms:
(3xy + -3xy + 9x2 + -1y2) = 30

Combine like terms: 3xy + -3xy = 0
(0 + 9x2 + -1y2) = 30
(9x2 + -1y2) = 30

Solving
9x2 + -1y2 = 30

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 = 30 + y2

Combine like terms: -1y2 + y2 = 0
9x2 + 0 = 30 + y2
9x2 = 30 + y2

Divide each side by '9'.
x2 = 3.333333333 + 0.1111111111y2

Simplifying
x2 = 3.333333333 + 0.1111111111y2

Reorder the terms:
-3.333333333 + x2 + -0.1111111111y2 = 3.333333333 + 0.1111111111y2 + -3.333333333 + -0.1111111111y2

Reorder the terms:
-3.333333333 + x2 + -0.1111111111y2 = 3.333333333 + -3.333333333 + 0.1111111111y2 + -0.1111111111y2

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
-3.333333333 + x2 + -0.1111111111y2 = 0.000000000 + 0.1111111111y2 + -0.1111111111y2
-3.333333333 + x2 + -0.1111111111y2 = 0.1111111111y2 + -0.1111111111y2

Combine like terms: 0.1111111111y2 + -0.1111111111y2 = 0.0000000000
-3.333333333 + x2 + -0.1111111111y2 = 0.0000000000

The solution to this equation could not be determined.

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