12N^2+27N=0

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Solution for 12N^2+27N=0 equation:


Simplifying
12N2 + 27N = 0

Reorder the terms:
27N + 12N2 = 0

Solving
27N + 12N2 = 0

Solving for variable 'N'.

Factor out the Greatest Common Factor (GCF), '3N'.
3N(9 + 4N) = 0

Ignore the factor 3.

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 '(9 + 4N)' equal to zero and attempt to solve: Simplifying 9 + 4N = 0 Solving 9 + 4N = 0 Move all terms containing N to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4N = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4N = 0 + -9 4N = 0 + -9 Combine like terms: 0 + -9 = -9 4N = -9 Divide each side by '4'. N = -2.25 Simplifying N = -2.25

Solution

N = {0, -2.25}

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