Solve 5n^2 -30n^20=-n

Evaluate

5 n^{2} - 30 n^{2} \times 0 = - n

Simplify

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5 n^{2} = - n

Move the expression to the left side

5 n^{2} + n = 0

Factor the expression

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n (5 n + 1) = 0

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

n = 0 5 n + 1 = 0

Solve the equation for n

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n = 0 n = - \frac{1}{5}

Solution

n_{1} = - \frac{1}{5}, n_{2} = 0

Alternative Form

n_{1} = - 0.2, n_{2} = 0

Solve the quadratic equation