(6n^2+7n^5+9n^4)-(-4n^2+n^5)=0

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Solution for (6n^2+7n^5+9n^4)-(-4n^2+n^5)=0 equation:


Simplifying
(6n2 + 7n5 + 9n4) + -1(-4n2 + n5) = 0

Reorder the terms:
(6n2 + 9n4 + 7n5) + -1(-4n2 + n5) = 0

Remove parenthesis around (6n2 + 9n4 + 7n5)
6n2 + 9n4 + 7n5 + -1(-4n2 + n5) = 0
6n2 + 9n4 + 7n5 + (-4n2 * -1 + n5 * -1) = 0
6n2 + 9n4 + 7n5 + (4n2 + -1n5) = 0

Reorder the terms:
6n2 + 4n2 + 9n4 + 7n5 + -1n5 = 0

Combine like terms: 6n2 + 4n2 = 10n2
10n2 + 9n4 + 7n5 + -1n5 = 0

Combine like terms: 7n5 + -1n5 = 6n5
10n2 + 9n4 + 6n5 = 0

Solving
10n2 + 9n4 + 6n5 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n2'.
n2(10 + 9n2 + 6n3) = 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 '(10 + 9n2 + 6n3)' equal to zero and attempt to solve: Simplifying 10 + 9n2 + 6n3 = 0 Solving 10 + 9n2 + 6n3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

n = {0}

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