(7x+5y)(7x-5y)=24

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Solution for (7x+5y)(7x-5y)=24 equation: 


Simplifying
(7x + 5y)(7x + -5y) = 24

Multiply (7x + 5y) * (7x + -5y)
(7x * (7x + -5y) + 5y * (7x + -5y)) = 24
((7x * 7x + -5y * 7x) + 5y * (7x + -5y)) = 24

Reorder the terms:
((-35xy + 49x2) + 5y * (7x + -5y)) = 24
((-35xy + 49x2) + 5y * (7x + -5y)) = 24
(-35xy + 49x2 + (7x * 5y + -5y * 5y)) = 24
(-35xy + 49x2 + (35xy + -25y2)) = 24

Reorder the terms:
(-35xy + 35xy + 49x2 + -25y2) = 24

Combine like terms: -35xy + 35xy = 0
(0 + 49x2 + -25y2) = 24
(49x2 + -25y2) = 24

Solving
49x2 + -25y2 = 24

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '25y2' to each side of the equation.
49x2 + -25y2 + 25y2 = 24 + 25y2

Combine like terms: -25y2 + 25y2 = 0
49x2 + 0 = 24 + 25y2
49x2 = 24 + 25y2

Divide each side by '49'.
x2 = 0.4897959184 + 0.5102040816y2

Simplifying
x2 = 0.4897959184 + 0.5102040816y2

Reorder the terms:
-0.4897959184 + x2 + -0.5102040816y2 = 0.4897959184 + 0.5102040816y2 + -0.4897959184 + -0.5102040816y2

Reorder the terms:
-0.4897959184 + x2 + -0.5102040816y2 = 0.4897959184 + -0.4897959184 + 0.5102040816y2 + -0.5102040816y2

Combine like terms: 0.4897959184 + -0.4897959184 = 0.0000000000
-0.4897959184 + x2 + -0.5102040816y2 = 0.0000000000 + 0.5102040816y2 + -0.5102040816y2
-0.4897959184 + x2 + -0.5102040816y2 = 0.5102040816y2 + -0.5102040816y2

Combine like terms: 0.5102040816y2 + -0.5102040816y2 = 0.0000000000
-0.4897959184 + x2 + -0.5102040816y2 = 0.0000000000

The solution to this equation could not be determined.

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