-n(6n+3)=0

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


Simplifying
-1n(6n + 3) = 0

Reorder the terms:
-1n(3 + 6n) = 0
(3 * -1n + 6n * -1n) = 0
(-3n + -6n2) = 0

Solving
-3n + -6n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-3n'.
-3n(1 + 2n) = 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 '(1 + 2n)' equal to zero and attempt to solve: Simplifying 1 + 2n = 0 Solving 1 + 2n = 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 + 2n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2n = 0 + -1 2n = 0 + -1 Combine like terms: 0 + -1 = -1 2n = -1 Divide each side by '2'. n = -0.5 Simplifying n = -0.5

Solution

n = {0, -0.5}

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