What is (2x+5)(x-3)(3x-3)<0 ?

The solution to (2x+5)(x-3)(3x-3)<0 is x<-5/2 \lor 1<x<3

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(2x+5)(x-3)(3x-3)<0

(2 x + 5) (x - 3) (3 x - 3) < 0

x < - \frac{5}{2} or 1 < x < 3

Interval Notation

(- \infty, - \frac{5}{2}) \cup (1, 3)

Decimal Notation

x < - 2.5 or 1 < x < 3

Solution steps

(2 x + 5) (x - 3) (3 x - 3) < 0

Rewrite in standard form

2 x^{3} - 3 x^{2} - 14 x + 15 < 0

Factor

2 x^{3} - 3 x^{2} - 14 x + 15 : (x - 1) (2 x + 5) (x - 3)

(x - 1) (2 x + 5) (x - 3) < 0

Identify the intervals

x < - \frac{5}{2} or 1 < x < 3

- x^{2} = 3 x

\frac{1}{2} x^{2} - 8 = 0

2 e^{- x} - 1 > 0

4 k + 2 (3 k + 8) < 3 k + 10 - 8

a^{2} + 6 a + 8

What is (2x+5)(x-3)(3x-3)<0 ?
The solution to (2x+5)(x-3)(3x-3)<0 is x<-5/2 \lor 1<x<3