5n^2-20=b^2

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Solution for 5n^2-20=b^2 equation:


Simplifying
5n2 + -20 = b2

Reorder the terms:
-20 + 5n2 = b2

Solving
-20 + 5n2 = b2

Solving for variable 'n'.

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

Add '20' to each side of the equation.
-20 + 20 + 5n2 = 20 + b2

Combine like terms: -20 + 20 = 0
0 + 5n2 = 20 + b2
5n2 = 20 + b2

Divide each side by '5'.
n2 = 4 + 0.2b2

Simplifying
n2 = 4 + 0.2b2

Reorder the terms:
-4 + -0.2b2 + n2 = 4 + 0.2b2 + -4 + -0.2b2

Reorder the terms:
-4 + -0.2b2 + n2 = 4 + -4 + 0.2b2 + -0.2b2

Combine like terms: 4 + -4 = 0
-4 + -0.2b2 + n2 = 0 + 0.2b2 + -0.2b2
-4 + -0.2b2 + n2 = 0.2b2 + -0.2b2

Combine like terms: 0.2b2 + -0.2b2 = 0.0
-4 + -0.2b2 + n2 = 0.0

The solution to this equation could not be determined.

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