What is the answer to |4x-2|+1=15 ?

The answer to |4x-2|+1=15 is x=-3\lor x=4

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|4x-2|+1=15

∣ 4 x - 2 ∣ + 1 = 15

x = - 3 or x = 4

Solution steps

∣ 4 x - 2 ∣ + 1 = 15

Move

1

to the right side

∣ 4 x - 2 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 2 = - 14 or 4 x - 2 = 14

4 x - 2 = - 14 or 4 x - 2 = 14

x = - 3 or x = 4

1 - \frac{1}{1}

\frac{a ( 1 - 3 ^{8} )}{1 - 3} = 2280

4 x^{2} - 23 x - 6

\frac{6 x - 1}{3} - 2 > 2 x

x + 3 = (x - 1) (x + 2)