2n*n-5=3n*n^2*n*4

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Solution for 2n*n-5=3n*n^2*n*4 equation: 


Simplifying
2n * n + -5 = 3n * n2 * n * 4

Multiply n * n
2n2 + -5 = 3n * n2 * n * 4

Reorder the terms:
-5 + 2n2 = 3n * n2 * n * 4

Reorder the terms for easier multiplication:
-5 + 2n2 = 3 * 4n * n2 * n

Multiply 3 * 4
-5 + 2n2 = 12n * n2 * n

Multiply n * n2
-5 + 2n2 = 12n3 * n

Multiply n3 * n
-5 + 2n2 = 12n4

Solving
-5 + 2n2 = 12n4

Solving for variable 'n'.

Combine like terms: 12n4 + -12n4 = 0
-5 + 2n2 + -12n4 = 0

Begin completing the square.  Divide all terms by
-12 the coefficient of the squared term: 

Divide each side by '-12'.
0.4166666667 + -0.1666666667n2 + n4 = 0

Move the constant term to the right:

Add '-0.4166666667' to each side of the equation.
0.4166666667 + -0.1666666667n2 + -0.4166666667 + n4 = 0 + -0.4166666667

Reorder the terms:
0.4166666667 + -0.4166666667 + -0.1666666667n2 + n4 = 0 + -0.4166666667

Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000
0.0000000000 + -0.1666666667n2 + n4 = 0 + -0.4166666667
-0.1666666667n2 + n4 = 0 + -0.4166666667

Combine like terms: 0 + -0.4166666667 = -0.4166666667
-0.1666666667n2 + n4 = -0.4166666667

The n term is -0.1666666667n2.  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.
-0.1666666667n2 + 0.006944444447 + n4 = -0.4166666667 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667n2 + n4 = -0.4166666667 + 0.006944444447

Combine like terms: -0.4166666667 + 0.006944444447 = -0.409722222253
0.006944444447 + -0.1666666667n2 + n4 = -0.409722222253

Factor a perfect square on the left side:
(n2 + -0.08333333335)(n2 + -0.08333333335) = -0.409722222253

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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