(5n+1)2=(5n-1)2

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Solution for (5n+1)2=(5n-1)2 equation: 


Simplifying
(5n + 1) * 2 = (5n + -1) * 2

Reorder the terms:
(1 + 5n) * 2 = (5n + -1) * 2

Reorder the terms for easier multiplication:
2(1 + 5n) = (5n + -1) * 2
(1 * 2 + 5n * 2) = (5n + -1) * 2
(2 + 10n) = (5n + -1) * 2

Reorder the terms:
2 + 10n = (-1 + 5n) * 2

Reorder the terms for easier multiplication:
2 + 10n = 2(-1 + 5n)
2 + 10n = (-1 * 2 + 5n * 2)
2 + 10n = (-2 + 10n)

Add '-10n' to each side of the equation.
2 + 10n + -10n = -2 + 10n + -10n

Combine like terms: 10n + -10n = 0
2 + 0 = -2 + 10n + -10n
2 = -2 + 10n + -10n

Combine like terms: 10n + -10n = 0
2 = -2 + 0
2 = -2

Solving
2 = -2

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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