What is the answer to |4t-3|=6 ?

The answer to |4t-3|=6 is t=-3/4 \lor t= 9/4

Solve for t: |4t-3|=6

The solution is t=-3/4 \lor t= 9/4

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∣ 4 t - 3 ∣ = 6

t = - \frac{3}{4} or t = \frac{9}{4}

Decimal Notation

t = - 0.75, t = 2.25

Solution steps

∣ 4 t - 3 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 t - 3 = - 6 or 4 t - 3 = 6

4 t - 3 = - 6 or 4 t - 3 = 6

t = - \frac{3}{4} or t = \frac{9}{4}

∣ x ∣ + 3 x + 1 = 0

∣ 2 x + 2 ∣ = 6 x - 18

- 8 ∣ 3 - 8 x ∣ = 40

5 ∣ x - 4 ∣ = 8

5 ∣ x - 4 ∣ = 6