What is the answer to 5-8|-2n|=-75 ?

The answer to 5-8|-2n|=-75 is n=-5\lor n=5

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5-8|-2n|=-75

5 - 8 ∣ - 2 n ∣ = - 75

n = - 5 or n = 5

Solution steps

5 - 8 ∣ - 2 n ∣ = - 75

Move

5

to the right side

- 8 ∣ - 2 n ∣ = - 80

Divide both sides by

- 8

∣ - 2 n ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 n = - 10 or - 2 n = 10

- 2 n = - 10 or - 2 n = 10

n = - 5 or n = 5

- \frac{3}{2} \cdot 4

3 x^{2} + 1 < 2 x

\frac{2 π}{( \frac{2 π}{3} )}

4 x^{2} - 2 x - 5 = 0

\frac{x ^{- 9} y ^{6}}{x ^{4} y ^{10}}