25m^2+4n^2-4n-1=

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Solution for 25m^2+4n^2-4n-1= equation:


Simplifying
25m2 + 4n2 + -4n + -1 = 0

Reorder the terms:
-1 + 25m2 + -4n + 4n2 = 0

Solving
-1 + 25m2 + -4n + 4n2 = 0

Solving for variable 'm'.

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

Add '1' to each side of the equation.
-1 + 25m2 + -4n + 1 + 4n2 = 0 + 1

Reorder the terms:
-1 + 1 + 25m2 + -4n + 4n2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 25m2 + -4n + 4n2 = 0 + 1
25m2 + -4n + 4n2 = 0 + 1

Combine like terms: 0 + 1 = 1
25m2 + -4n + 4n2 = 1

Add '4n' to each side of the equation.
25m2 + -4n + 4n + 4n2 = 1 + 4n

Combine like terms: -4n + 4n = 0
25m2 + 0 + 4n2 = 1 + 4n
25m2 + 4n2 = 1 + 4n

Add '-4n2' to each side of the equation.
25m2 + 4n2 + -4n2 = 1 + 4n + -4n2

Combine like terms: 4n2 + -4n2 = 0
25m2 + 0 = 1 + 4n + -4n2
25m2 = 1 + 4n + -4n2

Divide each side by '25'.
m2 = 0.04 + 0.16n + -0.16n2

Simplifying
m2 = 0.04 + 0.16n + -0.16n2

Reorder the terms:
-0.04 + m2 + -0.16n + 0.16n2 = 0.04 + 0.16n + -0.16n2 + -0.04 + -0.16n + 0.16n2

Reorder the terms:
-0.04 + m2 + -0.16n + 0.16n2 = 0.04 + -0.04 + 0.16n + -0.16n + -0.16n2 + 0.16n2

Combine like terms: 0.04 + -0.04 = 0.00
-0.04 + m2 + -0.16n + 0.16n2 = 0.00 + 0.16n + -0.16n + -0.16n2 + 0.16n2
-0.04 + m2 + -0.16n + 0.16n2 = 0.16n + -0.16n + -0.16n2 + 0.16n2

Combine like terms: 0.16n + -0.16n = 0.00
-0.04 + m2 + -0.16n + 0.16n2 = 0.00 + -0.16n2 + 0.16n2
-0.04 + m2 + -0.16n + 0.16n2 = -0.16n2 + 0.16n2

Combine like terms: -0.16n2 + 0.16n2 = 0.00
-0.04 + m2 + -0.16n + 0.16n2 = 0.00

The solution to this equation could not be determined.

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