Solve n^2 - 3n - 2n - 6 = 0

Evaluate

n^{2} - 3 n - 2 n - 6 = 0

Subtract the terms

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n^{2} - 5 n - 6 = 0

Factor the expression

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(n - 6) (n + 1) = 0

When the product of factors equals 0,at least one factor is 0

n - 6 = 0 n + 1 = 0

Solve the equation for n

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n = 6 n + 1 = 0

Solve the equation for n

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n = 6 n = - 1

Solution

n_{1} = - 1, n_{2} = 6

Solve the quadratic equation