What is ((2x-3)(3x+8))/((x-5)^3)>= 0 ?

The solution to ((2x-3)(3x+8))/((x-5)^3)>= 0 is -8/3 5

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((2x-3)(3x+8))/((x-5)^3)>= 0

\frac{( 2 x - 3 ) ( 3 x + 8 )}{( x - 5 ) ^{3}} \geq 0

- \frac{8}{3} \leq x \leq \frac{3}{2} or x > 5

Interval Notation

[- \frac{8}{3}, \frac{3}{2}] \cup (5, \infty)

Decimal Notation

- 2.66666 \dots \leq x \leq 1.5 or x > 5

Solution steps

\frac{( 2 x - 3 ) ( 3 x + 8 )}{( x - 5 ) ^{3}} \geq 0

Identify the intervals

- \frac{8}{3} \leq x \leq \frac{3}{2} or x > 5

6 x^{2} - x - 40 = 0

26 + 354

9 x - 8 = 2 x + 4 + 1

- (\frac{1}{2})^{- 1}

64 ab c - 80 ab + 16 a

What is ((2x-3)(3x+8))/((x-5)^3)>= 0 ?
The solution to ((2x-3)(3x+8))/((x-5)^3)>= 0 is -8/3 <= x<= 3/2 \lor x>5