121m^2-4n^2-52n-169=0

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Solution for 121m^2-4n^2-52n-169=0 equation: 


Simplifying
121m2 + -4n2 + -52n + -169 = 0

Reorder the terms:
-169 + 121m2 + -52n + -4n2 = 0

Solving
-169 + 121m2 + -52n + -4n2 = 0

Solving for variable 'm'.

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

Add '169' to each side of the equation.
-169 + 121m2 + -52n + 169 + -4n2 = 0 + 169

Reorder the terms:
-169 + 169 + 121m2 + -52n + -4n2 = 0 + 169

Combine like terms: -169 + 169 = 0
0 + 121m2 + -52n + -4n2 = 0 + 169
121m2 + -52n + -4n2 = 0 + 169

Combine like terms: 0 + 169 = 169
121m2 + -52n + -4n2 = 169

Add '52n' to each side of the equation.
121m2 + -52n + 52n + -4n2 = 169 + 52n

Combine like terms: -52n + 52n = 0
121m2 + 0 + -4n2 = 169 + 52n
121m2 + -4n2 = 169 + 52n

Add '4n2' to each side of the equation.
121m2 + -4n2 + 4n2 = 169 + 52n + 4n2

Combine like terms: -4n2 + 4n2 = 0
121m2 + 0 = 169 + 52n + 4n2
121m2 = 169 + 52n + 4n2

Divide each side by '121'.
m2 = 1.396694215 + 0.4297520661n + 0.03305785124n2

Simplifying
m2 = 1.396694215 + 0.4297520661n + 0.03305785124n2

Reorder the terms:
-1.396694215 + m2 + -0.4297520661n + -0.03305785124n2 = 1.396694215 + 0.4297520661n + 0.03305785124n2 + -1.396694215 + -0.4297520661n + -0.03305785124n2

Reorder the terms:
-1.396694215 + m2 + -0.4297520661n + -0.03305785124n2 = 1.396694215 + -1.396694215 + 0.4297520661n + -0.4297520661n + 0.03305785124n2 + -0.03305785124n2

Combine like terms: 1.396694215 + -1.396694215 = 0.000000000
-1.396694215 + m2 + -0.4297520661n + -0.03305785124n2 = 0.000000000 + 0.4297520661n + -0.4297520661n + 0.03305785124n2 + -0.03305785124n2
-1.396694215 + m2 + -0.4297520661n + -0.03305785124n2 = 0.4297520661n + -0.4297520661n + 0.03305785124n2 + -0.03305785124n2

Combine like terms: 0.4297520661n + -0.4297520661n = 0.0000000000
-1.396694215 + m2 + -0.4297520661n + -0.03305785124n2 = 0.0000000000 + 0.03305785124n2 + -0.03305785124n2
-1.396694215 + m2 + -0.4297520661n + -0.03305785124n2 = 0.03305785124n2 + -0.03305785124n2

Combine like terms: 0.03305785124n2 + -0.03305785124n2 = 0.00000000000
-1.396694215 + m2 + -0.4297520661n + -0.03305785124n2 = 0.00000000000

The solution to this equation could not be determined.

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