(2x+6y)(2x-6y)=0

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Solution for (2x+6y)(2x-6y)=0 equation: 


Simplifying
(2x + 6y)(2x + -6y) = 0

Multiply (2x + 6y) * (2x + -6y)
(2x * (2x + -6y) + 6y * (2x + -6y)) = 0
((2x * 2x + -6y * 2x) + 6y * (2x + -6y)) = 0

Reorder the terms:
((-12xy + 4x2) + 6y * (2x + -6y)) = 0
((-12xy + 4x2) + 6y * (2x + -6y)) = 0
(-12xy + 4x2 + (2x * 6y + -6y * 6y)) = 0
(-12xy + 4x2 + (12xy + -36y2)) = 0

Reorder the terms:
(-12xy + 12xy + 4x2 + -36y2) = 0

Combine like terms: -12xy + 12xy = 0
(0 + 4x2 + -36y2) = 0
(4x2 + -36y2) = 0

Solving
4x2 + -36y2 = 0

Solving for variable 'x'.

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

Add '36y2' to each side of the equation.
4x2 + -36y2 + 36y2 = 0 + 36y2

Combine like terms: -36y2 + 36y2 = 0
4x2 + 0 = 0 + 36y2
4x2 = 0 + 36y2
Remove the zero:
4x2 = 36y2

Divide each side by '4'.
x2 = 9y2

Simplifying
x2 = 9y2

Take the square root of each side:
x = {-3y, 3y}

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