5nu^8-15nU^4+40n=0

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Solution for 5nu^8-15nU^4+40n=0 equation:


Simplifying
5nu8 + -15nU4 + 40n = 0

Reorder the terms:
40n + -15nU4 + 5nu8 = 0

Solving
40n + -15nU4 + 5nu8 = 0

Solving for variable 'n'.

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

Factor out the Greatest Common Factor (GCF), '5n'.
5n(8 + -3U4 + u8) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0

Subproblem 2

Set the factor '(8 + -3U4 + u8)' equal to zero and attempt to solve: Simplifying 8 + -3U4 + u8 = 0 Solving 8 + -3U4 + u8 = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -3U4 + -8 + u8 = 0 + -8 Reorder the terms: 8 + -8 + -3U4 + u8 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3U4 + u8 = 0 + -8 -3U4 + u8 = 0 + -8 Combine like terms: 0 + -8 = -8 -3U4 + u8 = -8 Add '3U4' to each side of the equation. -3U4 + 3U4 + u8 = -8 + 3U4 Combine like terms: -3U4 + 3U4 = 0 0 + u8 = -8 + 3U4 u8 = -8 + 3U4 Add '-1u8' to each side of the equation. u8 + -1u8 = -8 + 3U4 + -1u8 Combine like terms: u8 + -1u8 = 0 0 = -8 + 3U4 + -1u8 Simplifying 0 = -8 + 3U4 + -1u8 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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