12n^3-5n^2-2n=0

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Solution for 12n^3-5n^2-2n=0 equation:


Simplifying
12n3 + -5n2 + -2n = 0

Reorder the terms:
-2n + -5n2 + 12n3 = 0

Solving
-2n + -5n2 + 12n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(-2 + -5n + 12n2) = 0

Factor a trinomial.
n((-1 + -4n)(2 + -3n)) = 0

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 '(-1 + -4n)' equal to zero and attempt to solve: Simplifying -1 + -4n = 0 Solving -1 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4n = 0 + 1 -4n = 0 + 1 Combine like terms: 0 + 1 = 1 -4n = 1 Divide each side by '-4'. n = -0.25 Simplifying n = -0.25

Subproblem 3

Set the factor '(2 + -3n)' equal to zero and attempt to solve: Simplifying 2 + -3n = 0 Solving 2 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3n = 0 + -2 -3n = 0 + -2 Combine like terms: 0 + -2 = -2 -3n = -2 Divide each side by '-3'. n = 0.6666666667 Simplifying n = 0.6666666667

Solution

n = {0, -0.25, 0.6666666667}

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