What is -2x-6>(x-2)(x+3) ?

The solution to -2x-6>(x-2)(x+3) is -3<x<0

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-2x-6>(x-2)(x+3)

- 2 x - 6 > (x - 2) (x + 3)

- 3 < x < 0

Interval Notation

(- 3, 0)

Solution steps

- 2 x - 6 > (x - 2) (x + 3)

Rewrite in standard form

- 3 x - x^{2} > 0

Factor

- 3 x - x^{2} : - x (x + 3)

- x (x + 3) > 0

Multiply both sides by

- 1

(reverse the inequality)

(- x (x + 3)) (- 1) < 0 \cdot (- 1)

Simplify

x (x + 3) < 0

Identify the intervals

- 3 < x < 0

\frac{x}{2.4} - 1.3 = - 1.05

x^{2} - 6 x > 0

15 x^{2} + 32 x - 7 = 0

- x - 8 = - 4 x - 23

∣ 4 x + 5 ∣ = 7