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Simplifying
(-1x + 8y)(-1x + -8y) = 0
Multiply (-1x + 8y) * (-1x + -8y)
(-1x * (-1x + -8y) + 8y * (-1x + -8y)) = 0
((-1x * -1x + -8y * -1x) + 8y * (-1x + -8y)) = 0
Reorder the terms:
((8xy + 1x2) + 8y * (-1x + -8y)) = 0
((8xy + 1x2) + 8y * (-1x + -8y)) = 0
(8xy + 1x2 + (-1x * 8y + -8y * 8y)) = 0
(8xy + 1x2 + (-8xy + -64y2)) = 0
Reorder the terms:
(8xy + -8xy + 1x2 + -64y2) = 0
Combine like terms: 8xy + -8xy = 0
(0 + 1x2 + -64y2) = 0
(1x2 + -64y2) = 0
Solving
1x2 + -64y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '64y2' to each side of the equation.
1x2 + -64y2 + 64y2 = 0 + 64y2
Combine like terms: -64y2 + 64y2 = 0
1x2 + 0 = 0 + 64y2
1x2 = 0 + 64y2
Remove the zero:
1x2 = 64y2
Divide each side by '1'.
x2 = 64y2
Simplifying
x2 = 64y2
Take the square root of each side:
x = {-8y, 8y}
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