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Simplifying
(8x + 7y)(8x + -7y) = 0
Multiply (8x + 7y) * (8x + -7y)
(8x * (8x + -7y) + 7y * (8x + -7y)) = 0
((8x * 8x + -7y * 8x) + 7y * (8x + -7y)) = 0
Reorder the terms:
((-56xy + 64x2) + 7y * (8x + -7y)) = 0
((-56xy + 64x2) + 7y * (8x + -7y)) = 0
(-56xy + 64x2 + (8x * 7y + -7y * 7y)) = 0
(-56xy + 64x2 + (56xy + -49y2)) = 0
Reorder the terms:
(-56xy + 56xy + 64x2 + -49y2) = 0
Combine like terms: -56xy + 56xy = 0
(0 + 64x2 + -49y2) = 0
(64x2 + -49y2) = 0
Solving
64x2 + -49y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '49y2' to each side of the equation.
64x2 + -49y2 + 49y2 = 0 + 49y2
Combine like terms: -49y2 + 49y2 = 0
64x2 + 0 = 0 + 49y2
64x2 = 0 + 49y2
Remove the zero:
64x2 = 49y2
Divide each side by '64'.
x2 = 0.765625y2
Simplifying
x2 = 0.765625y2
Take the square root of each side:
x = {-0.875y, 0.875y}
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