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Simplifying
(4xy + 7)(4xy + -7) = 0
Reorder the terms:
(7 + 4xy)(4xy + -7) = 0
Reorder the terms:
(7 + 4xy)(-7 + 4xy) = 0
Multiply (7 + 4xy) * (-7 + 4xy)
(7(-7 + 4xy) + 4xy * (-7 + 4xy)) = 0
((-7 * 7 + 4xy * 7) + 4xy * (-7 + 4xy)) = 0
((-49 + 28xy) + 4xy * (-7 + 4xy)) = 0
(-49 + 28xy + (-7 * 4xy + 4xy * 4xy)) = 0
(-49 + 28xy + (-28xy + 16x2y2)) = 0
Combine like terms: 28xy + -28xy = 0
(-49 + 0 + 16x2y2) = 0
(-49 + 16x2y2) = 0
Solving
-49 + 16x2y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 16x2y2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 16x2y2 = 0 + 49
16x2y2 = 0 + 49
Combine like terms: 0 + 49 = 49
16x2y2 = 49
Divide each side by '16y2'.
x2 = 3.0625y-2
Simplifying
x2 = 3.0625y-2
Take the square root of each side:
x = {-1.75y-1, 1.75y-1}
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