(-13-7n^2-12n^4)-(3n^2+12n^4-6)=

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Solution for (-13-7n^2-12n^4)-(3n^2+12n^4-6)= equation: 


Simplifying
(-13 + -7n2 + -12n4) + -1(3n2 + 12n4 + -6) = 0

Remove parenthesis around (-13 + -7n2 + -12n4)
-13 + -7n2 + -12n4 + -1(3n2 + 12n4 + -6) = 0

Reorder the terms:
-13 + -7n2 + -12n4 + -1(-6 + 3n2 + 12n4) = 0
-13 + -7n2 + -12n4 + (-6 * -1 + 3n2 * -1 + 12n4 * -1) = 0
-13 + -7n2 + -12n4 + (6 + -3n2 + -12n4) = 0

Reorder the terms:
-13 + 6 + -7n2 + -3n2 + -12n4 + -12n4 = 0

Combine like terms: -13 + 6 = -7
-7 + -7n2 + -3n2 + -12n4 + -12n4 = 0

Combine like terms: -7n2 + -3n2 = -10n2
-7 + -10n2 + -12n4 + -12n4 = 0

Combine like terms: -12n4 + -12n4 = -24n4
-7 + -10n2 + -24n4 = 0

Solving
-7 + -10n2 + -24n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(7 + 10n2 + 24n4) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(7 + 10n2 + 24n4)' equal to zero and attempt to solve:

Simplifying
7 + 10n2 + 24n4 = 0

Solving
7 + 10n2 + 24n4 = 0

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

Divide each side by '24'.
0.2916666667 + 0.4166666667n2 + n4 = 0

Move the constant term to the right:

Add '-0.2916666667' to each side of the equation.
0.2916666667 + 0.4166666667n2 + -0.2916666667 + n4 = 0 + -0.2916666667

Reorder the terms:
0.2916666667 + -0.2916666667 + 0.4166666667n2 + n4 = 0 + -0.2916666667

Combine like terms: 0.2916666667 + -0.2916666667 = 0.0000000000
0.0000000000 + 0.4166666667n2 + n4 = 0 + -0.2916666667
0.4166666667n2 + n4 = 0 + -0.2916666667

Combine like terms: 0 + -0.2916666667 = -0.2916666667
0.4166666667n2 + n4 = -0.2916666667

The n term is 0.4166666667n2.  Take half its coefficient (0.2083333334).
Square it (0.04340277781) and add it to both sides.

Add '0.04340277781' to each side of the equation.
0.4166666667n2 + 0.04340277781 + n4 = -0.2916666667 + 0.04340277781

Reorder the terms:
0.04340277781 + 0.4166666667n2 + n4 = -0.2916666667 + 0.04340277781

Combine like terms: -0.2916666667 + 0.04340277781 = -0.24826388889
0.04340277781 + 0.4166666667n2 + n4 = -0.24826388889

Factor a perfect square on the left side:
(n2 + 0.2083333334)(n2 + 0.2083333334) = -0.24826388889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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