(12x+5y)(12x-5y)=3600

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Solution for (12x+5y)(12x-5y)=3600 equation: 


Simplifying
(12x + 5y)(12x + -5y) = 3600

Multiply (12x + 5y) * (12x + -5y)
(12x * (12x + -5y) + 5y * (12x + -5y)) = 3600
((12x * 12x + -5y * 12x) + 5y * (12x + -5y)) = 3600

Reorder the terms:
((-60xy + 144x2) + 5y * (12x + -5y)) = 3600
((-60xy + 144x2) + 5y * (12x + -5y)) = 3600
(-60xy + 144x2 + (12x * 5y + -5y * 5y)) = 3600
(-60xy + 144x2 + (60xy + -25y2)) = 3600

Reorder the terms:
(-60xy + 60xy + 144x2 + -25y2) = 3600

Combine like terms: -60xy + 60xy = 0
(0 + 144x2 + -25y2) = 3600
(144x2 + -25y2) = 3600

Solving
144x2 + -25y2 = 3600

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.
144x2 + -25y2 + 25y2 = 3600 + 25y2

Combine like terms: -25y2 + 25y2 = 0
144x2 + 0 = 3600 + 25y2
144x2 = 3600 + 25y2

Divide each side by '144'.
x2 = 25 + 0.1736111111y2

Simplifying
x2 = 25 + 0.1736111111y2

Reorder the terms:
-25 + x2 + -0.1736111111y2 = 25 + 0.1736111111y2 + -25 + -0.1736111111y2

Reorder the terms:
-25 + x2 + -0.1736111111y2 = 25 + -25 + 0.1736111111y2 + -0.1736111111y2

Combine like terms: 25 + -25 = 0
-25 + x2 + -0.1736111111y2 = 0 + 0.1736111111y2 + -0.1736111111y2
-25 + x2 + -0.1736111111y2 = 0.1736111111y2 + -0.1736111111y2

Combine like terms: 0.1736111111y2 + -0.1736111111y2 = 0.0000000000
-25 + x2 + -0.1736111111y2 = 0.0000000000

The solution to this equation could not be determined.

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