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

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


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

Reorder the terms:
5 + 2n(1 + n) = 2n
5 + (1 * 2n + n * 2n) = 2n
5 + (2n + 2n2) = 2n

Add '-2n' to each side of the equation.
5 + 2n + -2n + 2n2 = 2n + -2n

Combine like terms: 2n + -2n = 0
5 + 0 + 2n2 = 2n + -2n
5 + 2n2 = 2n + -2n

Combine like terms: 2n + -2n = 0
5 + 2n2 = 0

Solving
5 + 2n2 = 0

Solving for variable 'n'.

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

Add '-5' to each side of the equation.
5 + -5 + 2n2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2n2 = 0 + -5
2n2 = 0 + -5

Combine like terms: 0 + -5 = -5
2n2 = -5

Divide each side by '2'.
n2 = -2.5

Simplifying
n2 = -2.5

Reorder the terms:
2.5 + n2 = -2.5 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
2.5 + n2 = 0.0

The solution to this equation could not be determined.

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