Solve 11-|2n-812n|=-5

Evaluate

11 - ∣ 2 n - 812 n ∣ = - 5

Simplify

More Steps

11 - ∣ 810 n ∣ = - 5

Move the constant to the right-hand side and change its sign

- ∣ 810 n ∣ = - 5 - 11

Subtract the numbers

- ∣ 810 n ∣ = - 16

Calculate

∣ 810 n ∣ = 16

Separate the equation into 2 possible cases

810 n = 16 810 n = - 16

Solve the equation for n

More Steps

n = \frac{8}{405} 810 n = - 16

Solve the equation for n

More Steps

n = \frac{8}{405} n = - \frac{8}{405}

Solution

n_{1} = - \frac{8}{405}, n_{2} = \frac{8}{405}

Alternative Form

n_{1} \approx - 0.019753, n_{2} \approx 0.019753

Solve the equation