Question

solve for x when x(x-2)(x-3)(x+3)>=0
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Answer 1

$x(x - 2)(x - 3)(x + 3) \geqslant 0 \\ \\ ( {x}^{2} - 2x)( {x}^{2} - {3}^{2} ) \geqslant 0 \\ \\ ( {x}^{2} - 2x)( {x}^{2} - 9) \geqslant 0 \\ \\ {x}^{2} ( {x}^{2} - 9) - 2x( {x}^{2} - 9) \geqslant 0 \\ \\ {x}^{4} - 9 {x}^{2} - 2 {x}^{3} + 18x \geqslant 0$

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