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Simplifying
(8x + -2y)(8x + 2y) = 0
Multiply (8x + -2y) * (8x + 2y)
(8x * (8x + 2y) + -2y * (8x + 2y)) = 0
((8x * 8x + 2y * 8x) + -2y * (8x + 2y)) = 0
Reorder the terms:
((16xy + 64x2) + -2y * (8x + 2y)) = 0
((16xy + 64x2) + -2y * (8x + 2y)) = 0
(16xy + 64x2 + (8x * -2y + 2y * -2y)) = 0
(16xy + 64x2 + (-16xy + -4y2)) = 0
Reorder the terms:
(16xy + -16xy + 64x2 + -4y2) = 0
Combine like terms: 16xy + -16xy = 0
(0 + 64x2 + -4y2) = 0
(64x2 + -4y2) = 0
Solving
64x2 + -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.
64x2 + -4y2 + 4y2 = 0 + 4y2
Combine like terms: -4y2 + 4y2 = 0
64x2 + 0 = 0 + 4y2
64x2 = 0 + 4y2
Remove the zero:
64x2 = 4y2
Divide each side by '64'.
x2 = 0.0625y2
Simplifying
x2 = 0.0625y2
Take the square root of each side:
x = {-0.25y, 0.25y}
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