What is -16x(-4x^2+9)>0 ?

The solution to -16x(-4x^2+9)>0 is -3/2 3/2

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-16x(-4x^2+9)>0

- 16 x (- 4 x^{2} + 9) > 0

- \frac{3}{2} < x < 0 or x > \frac{3}{2}

Interval Notation

(- \frac{3}{2}, 0) \cup (\frac{3}{2}, \infty)

Decimal

- 1.5 < x < 0 or x > 1.5

Solution steps

- 16 x (- 4 x^{2} + 9) > 0

Rewrite in standard form

4 x^{3} - 9 x > 0

Factor

4 x^{3} - 9 x : x (2 x + 3) (2 x - 3)

x (2 x + 3) (2 x - 3) > 0

Identify the intervals

- \frac{3}{2} < x < 0 or x > \frac{3}{2}

x (x - 3) = 10

\frac{2}{3} x = - \frac{1}{3} x - 4

- 49 + y = - 7

4^{2} + x^{2} = (2 x - 1)^{2}

3 x^{2} - 3 x - 1 = 0

What is -16x(-4x^2+9)>0 ?
The solution to -16x(-4x^2+9)>0 is -3/2 <x<0\lor x> 3/2