What is -100x(-25x^2+9)>0 ?

The solution to -100x(-25x^2+9)>0 is -3/5 3/5

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-100x(-25x^2+9)>0

- 100 x (- 25 x^{2} + 9) > 0

- \frac{3}{5} < x < 0 or x > \frac{3}{5}

Interval Notation

(- \frac{3}{5}, 0) \cup (\frac{3}{5}, \infty)

Decimal Notation

- 0.6 < x < 0 or x > 0.6

Solution steps

- 100 x (- 25 x^{2} + 9) > 0

Rewrite in standard form

25 x^{3} - 9 x > 0

Factor

25 x^{3} - 9 x : x (5 x + 3) (5 x - 3)

x (5 x + 3) (5 x - 3) > 0

Identify the intervals

- \frac{3}{5} < x < 0 or x > \frac{3}{5}

- x^{2} - 5 x - 6 = 0

- \frac{5}{3} + \frac{13}{9} (- 1.1 + 1)

\frac{4 + 2 i}{4 - 2 i}

2 k + 1 > 15

x y^{2} 45 x^{5} y^{5}

What is -100x(-25x^2+9)>0 ?
The solution to -100x(-25x^2+9)>0 is -3/5 <x<0\lor x> 3/5