11=6n-4n^2

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Solution for 11=6n-4n^2 equation:


Simplifying
11 = 6n + -4n2

Solving
11 = 6n + -4n2

Solving for variable 'n'.

Reorder the terms:
11 + -6n + 4n2 = 6n + -6n + -4n2 + 4n2

Combine like terms: 6n + -6n = 0
11 + -6n + 4n2 = 0 + -4n2 + 4n2
11 + -6n + 4n2 = -4n2 + 4n2

Combine like terms: -4n2 + 4n2 = 0
11 + -6n + 4n2 = 0

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

Divide each side by '4'.
2.75 + -1.5n + n2 = 0

Move the constant term to the right:

Add '-2.75' to each side of the equation.
2.75 + -1.5n + -2.75 + n2 = 0 + -2.75

Reorder the terms:
2.75 + -2.75 + -1.5n + n2 = 0 + -2.75

Combine like terms: 2.75 + -2.75 = 0.00
0.00 + -1.5n + n2 = 0 + -2.75
-1.5n + n2 = 0 + -2.75

Combine like terms: 0 + -2.75 = -2.75
-1.5n + n2 = -2.75

The n term is -1.5n.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5n + 0.5625 + n2 = -2.75 + 0.5625

Reorder the terms:
0.5625 + -1.5n + n2 = -2.75 + 0.5625

Combine like terms: -2.75 + 0.5625 = -2.1875
0.5625 + -1.5n + n2 = -2.1875

Factor a perfect square on the left side:
(n + -0.75)(n + -0.75) = -2.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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