3n^2=3n

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Solution for 3n^2=3n equation:


Simplifying
3n2 = 3n

Solving
3n2 = 3n

Solving for variable 'n'.

Reorder the terms:
-3n + 3n2 = 3n + -3n

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

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

Solution

n = {0, 1}

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