1n(6-2n)=99

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Solution for 1n(6-2n)=99 equation:


Simplifying
1n(6 + -2n) = 99
(6 * 1n + -2n * 1n) = 99
(6n + -2n2) = 99

Solving
6n + -2n2 = 99

Solving for variable 'n'.

Reorder the terms:
-99 + 6n + -2n2 = 99 + -99

Combine like terms: 99 + -99 = 0
-99 + 6n + -2n2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
49.5 + -3n + n2 = 0

Move the constant term to the right:

Add '-49.5' to each side of the equation.
49.5 + -3n + -49.5 + n2 = 0 + -49.5

Reorder the terms:
49.5 + -49.5 + -3n + n2 = 0 + -49.5

Combine like terms: 49.5 + -49.5 = 0.0
0.0 + -3n + n2 = 0 + -49.5
-3n + n2 = 0 + -49.5

Combine like terms: 0 + -49.5 = -49.5
-3n + n2 = -49.5

The n term is -3n.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3n + 2.25 + n2 = -49.5 + 2.25

Reorder the terms:
2.25 + -3n + n2 = -49.5 + 2.25

Combine like terms: -49.5 + 2.25 = -47.25
2.25 + -3n + n2 = -47.25

Factor a perfect square on the left side:
(n + -1.5)(n + -1.5) = -47.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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