What is -36x(-9x^2+4)>0 ?

The solution to -36x(-9x^2+4)>0 is -2/3 2/3

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-36x(-9x^2+4)>0

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

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

Interval Notation

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

Decimal Notation

- 0.66666 \dots < x < 0 or x > 0.66666 \dots

Solution steps

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

Rewrite in standard form

9 x^{3} - 4 x > 0

Factor

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

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

Identify the intervals

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

5 x^{2} + 10 = 310

x^{2} = 15 x

\frac{2}{5}

f (a) = \frac{a ^{2} + a - 42}{a ^{2} - a - 30}

x^{2} - 12 = 11 x

What is -36x(-9x^2+4)>0 ?
The solution to -36x(-9x^2+4)>0 is -2/3 <x<0\lor x> 2/3