7n^5=-1512n^2

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Solution for 7n^5=-1512n^2 equation:


Simplifying
7n5 = -1512n2

Solving
7n5 = -1512n2

Solving for variable 'n'.

Reorder the terms:
1512n2 + 7n5 = -1512n2 + 1512n2

Combine like terms: -1512n2 + 1512n2 = 0
1512n2 + 7n5 = 0

Factor out the Greatest Common Factor (GCF), '7n2'.
7n2(216 + n3) = 0

Ignore the factor 7.

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 '(216 + n3)' equal to zero and attempt to solve: Simplifying 216 + n3 = 0 Solving 216 + n3 = 0 Move all terms containing n to the left, all other terms to the right. Add '-216' to each side of the equation. 216 + -216 + n3 = 0 + -216 Combine like terms: 216 + -216 = 0 0 + n3 = 0 + -216 n3 = 0 + -216 Combine like terms: 0 + -216 = -216 n3 = -216 Simplifying n3 = -216 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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