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Simplifying
(8x + 6y)(8x + -6y) = 0
Multiply (8x + 6y) * (8x + -6y)
(8x * (8x + -6y) + 6y * (8x + -6y)) = 0
((8x * 8x + -6y * 8x) + 6y * (8x + -6y)) = 0
Reorder the terms:
((-48xy + 64x2) + 6y * (8x + -6y)) = 0
((-48xy + 64x2) + 6y * (8x + -6y)) = 0
(-48xy + 64x2 + (8x * 6y + -6y * 6y)) = 0
(-48xy + 64x2 + (48xy + -36y2)) = 0
Reorder the terms:
(-48xy + 48xy + 64x2 + -36y2) = 0
Combine like terms: -48xy + 48xy = 0
(0 + 64x2 + -36y2) = 0
(64x2 + -36y2) = 0
Solving
64x2 + -36y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '36y2' to each side of the equation.
64x2 + -36y2 + 36y2 = 0 + 36y2
Combine like terms: -36y2 + 36y2 = 0
64x2 + 0 = 0 + 36y2
64x2 = 0 + 36y2
Remove the zero:
64x2 = 36y2
Divide each side by '64'.
x2 = 0.5625y2
Simplifying
x2 = 0.5625y2
Take the square root of each side:
x = {-0.75y, 0.75y}
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