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Simplifying
(6x + y)(6x + -1y) = 0
Multiply (6x + y) * (6x + -1y)
(6x * (6x + -1y) + y(6x + -1y)) = 0
((6x * 6x + -1y * 6x) + y(6x + -1y)) = 0
Reorder the terms:
((-6xy + 36x2) + y(6x + -1y)) = 0
((-6xy + 36x2) + y(6x + -1y)) = 0
(-6xy + 36x2 + (6x * y + -1y * y)) = 0
(-6xy + 36x2 + (6xy + -1y2)) = 0
Reorder the terms:
(-6xy + 6xy + 36x2 + -1y2) = 0
Combine like terms: -6xy + 6xy = 0
(0 + 36x2 + -1y2) = 0
(36x2 + -1y2) = 0
Solving
36x2 + -1y2 = 0
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.
36x2 + -1y2 + y2 = 0 + y2
Combine like terms: -1y2 + y2 = 0
36x2 + 0 = 0 + y2
36x2 = 0 + y2
Remove the zero:
36x2 = y2
Divide each side by '36'.
x2 = 0.02777777778y2
Simplifying
x2 = 0.02777777778y2
Take the square root of each side:
x = {-0.166666667y, 0.166666667y}
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