3.) \( 20 x^{2}+24 x-9 \)

To solve the quadratic equation \( 20 x^{2} + 24 x - 9 \), you can use the quadratic formula \( x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} \), where \( a = 20 \), \( b = 24 \), and \( c = -9 \). Plugging in these values gives you a handy way to find the solutions and determine whether the roots are real or complex. Factoring this expression can be another challenge! You may want to look for a common factor or re-arrange to make grouped factoring easier. For instance, factor out the greatest common divisor where possible; in this case, you might notice that breaking the middle term (24x) could help in pairing the terms better for simpler factoring.