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Simplifying
(8x + -3y)(8x + 3y) = 0
Multiply (8x + -3y) * (8x + 3y)
(8x * (8x + 3y) + -3y * (8x + 3y)) = 0
((8x * 8x + 3y * 8x) + -3y * (8x + 3y)) = 0
Reorder the terms:
((24xy + 64x2) + -3y * (8x + 3y)) = 0
((24xy + 64x2) + -3y * (8x + 3y)) = 0
(24xy + 64x2 + (8x * -3y + 3y * -3y)) = 0
(24xy + 64x2 + (-24xy + -9y2)) = 0
Reorder the terms:
(24xy + -24xy + 64x2 + -9y2) = 0
Combine like terms: 24xy + -24xy = 0
(0 + 64x2 + -9y2) = 0
(64x2 + -9y2) = 0
Solving
64x2 + -9y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9y2' to each side of the equation.
64x2 + -9y2 + 9y2 = 0 + 9y2
Combine like terms: -9y2 + 9y2 = 0
64x2 + 0 = 0 + 9y2
64x2 = 0 + 9y2
Remove the zero:
64x2 = 9y2
Divide each side by '64'.
x2 = 0.140625y2
Simplifying
x2 = 0.140625y2
Take the square root of each side:
x = {-0.375y, 0.375y}
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