-3n(1-2n)+2(n+4)=

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Solution for -3n(1-2n)+2(n+4)= equation: 


Simplifying
-3n(1 + -2n) + 2(n + 4) = 0
(1 * -3n + -2n * -3n) + 2(n + 4) = 0
(-3n + 6n2) + 2(n + 4) = 0

Reorder the terms:
-3n + 6n2 + 2(4 + n) = 0
-3n + 6n2 + (4 * 2 + n * 2) = 0
-3n + 6n2 + (8 + 2n) = 0

Reorder the terms:
8 + -3n + 2n + 6n2 = 0

Combine like terms: -3n + 2n = -1n
8 + -1n + 6n2 = 0

Solving
8 + -1n + 6n2 = 0

Solving for variable 'n'.

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

Divide each side by '6'.
1.333333333 + -0.1666666667n + n2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -0.1666666667n + -1.333333333 + n2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -0.1666666667n + n2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.1666666667n + n2 = 0 + -1.333333333
-0.1666666667n + n2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-0.1666666667n + n2 = -1.333333333

The n term is -0.1666666667n.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667n + 0.006944444447 + n2 = -1.333333333 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667n + n2 = -1.333333333 + 0.006944444447

Combine like terms: -1.333333333 + 0.006944444447 = -1.326388888553
0.006944444447 + -0.1666666667n + n2 = -1.326388888553

Factor a perfect square on the left side:
(n + -0.08333333335)(n + -0.08333333335) = -1.326388888553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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