(3n^2+4n^4)+(4n^2-5n^4)=

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Solution for (3n^2+4n^4)+(4n^2-5n^4)= equation: 


Simplifying
(3n2 + 4n4) + (4n2 + -5n4) = 0

Remove parenthesis around (3n2 + 4n4)
3n2 + 4n4 + (4n2 + -5n4) = 0

Remove parenthesis around (4n2 + -5n4)
3n2 + 4n4 + 4n2 + -5n4 = 0

Reorder the terms:
3n2 + 4n2 + 4n4 + -5n4 = 0

Combine like terms: 3n2 + 4n2 = 7n2
7n2 + 4n4 + -5n4 = 0

Combine like terms: 4n4 + -5n4 = -1n4
7n2 + -1n4 = 0

Solving
7n2 + -1n4 = 0

Solving for variable 'n'.

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


Subproblem 1
Set the factor 'n2' equal to zero and attempt to solve:

Simplifying
n2 = 0

Solving
n2 = 0

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

Simplifying
n2 = 0

Take the square root of each side:
n = {0}

Subproblem 2
Set the factor '(7 + -1n2)' equal to zero and attempt to solve:

Simplifying
7 + -1n2 = 0

Solving
7 + -1n2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1n2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1n2 = 0 + -7
-1n2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1n2 = -7

Divide each side by '-1'.
n2 = 7

Simplifying
n2 = 7

Take the square root of each side:
n = {-2.645751311, 2.645751311}
Solution
n = {0, -2.645751311, 2.645751311}

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