What is the answer to 5|2x-3|=15 ?

The answer to 5|2x-3|=15 is x=0\lor x=3

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5|2x-3|=15

5 ∣ 2 x - 3 ∣ = 15

x = 0 or x = 3

Solution steps

5 ∣ 2 x - 3 ∣ = 15

Divide both sides by

5

∣ 2 x - 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = 3

2 x (x - 3) + 9 (x - 3)

\frac{- x}{3} + \frac{x}{2} = - 1

3 x + 3 = 15

x (x - 5)^{2} (x + 2)^{2} > 0

(1 + h)^{2} - 1