(5a-3b)(5a-8b)=1

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Solution for (5a-3b)(5a-8b)=1 equation: 


Simplifying
(5a + -3b)(5a + -8b) = 1

Multiply (5a + -3b) * (5a + -8b)
(5a * (5a + -8b) + -3b * (5a + -8b)) = 1
((5a * 5a + -8b * 5a) + -3b * (5a + -8b)) = 1

Reorder the terms:
((-40ab + 25a2) + -3b * (5a + -8b)) = 1
((-40ab + 25a2) + -3b * (5a + -8b)) = 1
(-40ab + 25a2 + (5a * -3b + -8b * -3b)) = 1
(-40ab + 25a2 + (-15ab + 24b2)) = 1

Reorder the terms:
(-40ab + -15ab + 25a2 + 24b2) = 1

Combine like terms: -40ab + -15ab = -55ab
(-55ab + 25a2 + 24b2) = 1

Solving
-55ab + 25a2 + 24b2 = 1

Solving for variable 'a'.

Reorder the terms:
-1 + -55ab + 25a2 + 24b2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -55ab + 25a2 + 24b2 = 0

The solution to this equation could not be determined.

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