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Simplifying
(6x + -2y)(6x + 2y) = 0
Multiply (6x + -2y) * (6x + 2y)
(6x * (6x + 2y) + -2y * (6x + 2y)) = 0
((6x * 6x + 2y * 6x) + -2y * (6x + 2y)) = 0
Reorder the terms:
((12xy + 36x2) + -2y * (6x + 2y)) = 0
((12xy + 36x2) + -2y * (6x + 2y)) = 0
(12xy + 36x2 + (6x * -2y + 2y * -2y)) = 0
(12xy + 36x2 + (-12xy + -4y2)) = 0
Reorder the terms:
(12xy + -12xy + 36x2 + -4y2) = 0
Combine like terms: 12xy + -12xy = 0
(0 + 36x2 + -4y2) = 0
(36x2 + -4y2) = 0
Solving
36x2 + -4y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4y2' to each side of the equation.
36x2 + -4y2 + 4y2 = 0 + 4y2
Combine like terms: -4y2 + 4y2 = 0
36x2 + 0 = 0 + 4y2
36x2 = 0 + 4y2
Remove the zero:
36x2 = 4y2
Divide each side by '36'.
x2 = 0.1111111111y2
Simplifying
x2 = 0.1111111111y2
Take the square root of each side:
x = {-0.333333333y, 0.333333333y}
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