What is the answer to | 3/2 x+2|=11 ?

The answer to | 3/2 x+2|=11 is x=-26/3 \lor x=6

Solve for x: | 3/2 x+2|=11

The solution is x=-26/3 \lor x=6

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\frac{3}{2} x + 2 = 11

x = - \frac{26}{3} or x = 6

Decimal Notation

x = - 8.66666 \dots, x = 6

Solution steps

\frac{3}{2} x + 2 = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{3}{2} x + 2 = - 11 or \frac{3}{2} x + 2 = 11

\frac{3}{2} x + 2 = - 11 or \frac{3}{2} x + 2 = 11

x = - \frac{26}{3} or x = 6

9 x^{4} + 3 x^{3} - 30 x^{2} + 6 x + 12

6 4^{\frac{4}{6}}

x^{2} - 7 x + 10 < 0

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

(x - 1)^{2} = 16

What is the answer to | 3/2 x+2|=11 ?
The answer to | 3/2 x+2|=11 is x=-26/3 \lor x=6
Solve for x: | 3/2 x+2|=11
The solution is x=-26/3 \lor x=6