(n-1)(n-2)=0

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Solution for (n-1)(n-2)=0 equation:


Simplifying
(n + -1)(n + -2) = 0

Reorder the terms:
(-1 + n)(n + -2) = 0

Reorder the terms:
(-1 + n)(-2 + n) = 0

Multiply (-1 + n) * (-2 + n)
(-1(-2 + n) + n(-2 + n)) = 0
((-2 * -1 + n * -1) + n(-2 + n)) = 0
((2 + -1n) + n(-2 + n)) = 0
(2 + -1n + (-2 * n + n * n)) = 0
(2 + -1n + (-2n + n2)) = 0

Combine like terms: -1n + -2n = -3n
(2 + -3n + n2) = 0

Solving
2 + -3n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(1 + -1n)(2 + -1n) = 0

Subproblem 1

Set the factor '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 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 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1

Subproblem 2

Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 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 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2

Solution

n = {1, 2}

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