(-6+5x^6-2x^4)+(2x^6+4n^4-8)=0

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Solution for (-6+5x^6-2x^4)+(2x^6+4n^4-8)=0 equation:


Simplifying
(-6 + 5x6 + -2x4) + (2x6 + 4n4 + -8) = 0

Reorder the terms:
(-6 + -2x4 + 5x6) + (2x6 + 4n4 + -8) = 0

Remove parenthesis around (-6 + -2x4 + 5x6)
-6 + -2x4 + 5x6 + (2x6 + 4n4 + -8) = 0

Reorder the terms:
-6 + -2x4 + 5x6 + (-8 + 4n4 + 2x6) = 0

Remove parenthesis around (-8 + 4n4 + 2x6)
-6 + -2x4 + 5x6 + -8 + 4n4 + 2x6 = 0

Reorder the terms:
-6 + -8 + 4n4 + -2x4 + 5x6 + 2x6 = 0

Combine like terms: -6 + -8 = -14
-14 + 4n4 + -2x4 + 5x6 + 2x6 = 0

Combine like terms: 5x6 + 2x6 = 7x6
-14 + 4n4 + -2x4 + 7x6 = 0

Solving
-14 + 4n4 + -2x4 + 7x6 = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '14' to each side of the equation.
-14 + 4n4 + -2x4 + 14 + 7x6 = 0 + 14

Reorder the terms:
-14 + 14 + 4n4 + -2x4 + 7x6 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 4n4 + -2x4 + 7x6 = 0 + 14
4n4 + -2x4 + 7x6 = 0 + 14

Combine like terms: 0 + 14 = 14
4n4 + -2x4 + 7x6 = 14

Add '2x4' to each side of the equation.
4n4 + -2x4 + 2x4 + 7x6 = 14 + 2x4

Combine like terms: -2x4 + 2x4 = 0
4n4 + 0 + 7x6 = 14 + 2x4
4n4 + 7x6 = 14 + 2x4

Add '-7x6' to each side of the equation.
4n4 + 7x6 + -7x6 = 14 + 2x4 + -7x6

Combine like terms: 7x6 + -7x6 = 0
4n4 + 0 = 14 + 2x4 + -7x6
4n4 = 14 + 2x4 + -7x6

Divide each side by '4'.
n4 = 3.5 + 0.5x4 + -1.75x6

Simplifying
n4 = 3.5 + 0.5x4 + -1.75x6

Reorder the terms:
-3.5 + n4 + -0.5x4 + 1.75x6 = 3.5 + 0.5x4 + -1.75x6 + -3.5 + -0.5x4 + 1.75x6

Reorder the terms:
-3.5 + n4 + -0.5x4 + 1.75x6 = 3.5 + -3.5 + 0.5x4 + -0.5x4 + -1.75x6 + 1.75x6

Combine like terms: 3.5 + -3.5 = 0.0
-3.5 + n4 + -0.5x4 + 1.75x6 = 0.0 + 0.5x4 + -0.5x4 + -1.75x6 + 1.75x6
-3.5 + n4 + -0.5x4 + 1.75x6 = 0.5x4 + -0.5x4 + -1.75x6 + 1.75x6

Combine like terms: 0.5x4 + -0.5x4 = 0.0
-3.5 + n4 + -0.5x4 + 1.75x6 = 0.0 + -1.75x6 + 1.75x6
-3.5 + n4 + -0.5x4 + 1.75x6 = -1.75x6 + 1.75x6

Combine like terms: -1.75x6 + 1.75x6 = 0.00
-3.5 + n4 + -0.5x4 + 1.75x6 = 0.00

The solution to this equation could not be determined.

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