n(3n-4)+2n=

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Solution for n(3n-4)+2n= equation:


Simplifying
n(3n + -4) + 2n = 0

Reorder the terms:
n(-4 + 3n) + 2n = 0
(-4 * n + 3n * n) + 2n = 0
(-4n + 3n2) + 2n = 0

Reorder the terms:
-4n + 2n + 3n2 = 0

Combine like terms: -4n + 2n = -2n
-2n + 3n2 = 0

Solving
-2n + 3n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(-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 '(-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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