3n(6n+4)=0

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Solution for 3n(6n+4)=0 equation:


Simplifying
3n(6n + 4) = 0

Reorder the terms:
3n(4 + 6n) = 0
(4 * 3n + 6n * 3n) = 0
(12n + 18n2) = 0

Solving
12n + 18n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '6n'.
6n(2 + 3n) = 0

Ignore the factor 6.

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 '(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, -0.6666666667}

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