-4n(6n-4)+2n=

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Solution for -4n(6n-4)+2n= equation:


Simplifying
-4n(6n + -4) + 2n = 0

Reorder the terms:
-4n(-4 + 6n) + 2n = 0
(-4 * -4n + 6n * -4n) + 2n = 0
(16n + -24n2) + 2n = 0

Reorder the terms:
16n + 2n + -24n2 = 0

Combine like terms: 16n + 2n = 18n
18n + -24n2 = 0

Solving
18n + -24n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '6n'.
6n(3 + -4n) = 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 '(3 + -4n)' equal to zero and attempt to solve: Simplifying 3 + -4n = 0 Solving 3 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4n = 0 + -3 -4n = 0 + -3 Combine like terms: 0 + -3 = -3 -4n = -3 Divide each side by '-4'. n = 0.75 Simplifying n = 0.75

Solution

n = {0, 0.75}

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