What is the answer to 4|4-3/2 x|+12=32 ?

The answer to 4|4-3/2 x|+12=32 is x=-2/3 \lor x=6

Solve for x: 4|4-3/2 x|+12=32

The solution is x=-2/3 \lor x=6

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4 4 - \frac{3}{2} x + 12 = 32

x = - \frac{2}{3} or x = 6

Solution steps

4 4 - \frac{3}{2} x + 12 = 32

Move

12

to the right side

4 4 - \frac{3}{2} x = 20

Divide both sides by

4

4 - \frac{3}{2} x = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - \frac{3}{2} x = - 5 or 4 - \frac{3}{2} x = 5

4 - \frac{3}{2} x = - 5 or 4 - \frac{3}{2} x = 5

x = - \frac{2}{3} or x = 6

r^{2} + 2 r + 17 = 0

x^{2} + 3 x - 5 = 0

x^{2} + x - 56 < 0

5 x^{3} + 30 x^{2} + 40 x

16.8 = \frac{x}{3.09}

What is the answer to 4|4-3/2 x|+12=32 ?
The answer to 4|4-3/2 x|+12=32 is x=-2/3 \lor x=6
Solve for x: 4|4-3/2 x|+12=32
The solution is x=-2/3 \lor x=6