What is the answer to 0=-|x-3|+2 ?

The answer to 0=-|x-3|+2 is x=1\lor x=5

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0=-|x-3|+2

0 = - ∣ x - 3 ∣ + 2

x = 1 or x = 5

Solution steps

0 = - ∣ x - 3 ∣ + 2

Move

∣ x - 3 ∣

to the left side

∣ x - 3 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 3 = - 2 or x - 3 = 2

x - 3 = - 2 or x - 3 = 2

x = 1 or x = 5

∣ 3 x - 2 ∣ = ∣ 2 x + 3 ∣

(x + 1)^{2} = 64

\frac{- 5 ( 50 ) + 249}{5 ( 5 ( 50 ) + 1 )}

5 x^{2} + 19 x - 4

8 n^{3} + 2 n^{2}