2n+n=2n*2n

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Solution for 2n+n=2n*2n equation:


Simplifying
2n + n = 2n * 2n

Combine like terms: 2n + n = 3n
3n = 2n * 2n

Reorder the terms for easier multiplication:
3n = 2 * 2n * n

Multiply 2 * 2
3n = 4n * n

Multiply n * n
3n = 4n2

Solving
3n = 4n2

Solving for variable 'n'.

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

Factor out the Greatest Common Factor (GCF), 'n'.
n(3 + -4n) = 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 '(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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