( 9 x + 2 ) ( 4 x 2 + 35 x − 9 ) = 0 ⟺ 9 x + 2 = 0 or 4 x 2 + 35 x − 9 = 0 ( #1 ) 9 x + 2 = 0 ∣ s u b t r a c t 2 f ro m b o t h s i d es 9 x = − 2 ∣ d i v i d e b o t h s i d es b y 9 x = − 9 2 ( #2 ) 4 x 2 + 35 x − 9 = 0 4 x 2 + 36 x − x − 9 = 0 4 x ( x + 9 ) − 1 ( x + 9 ) = 0 ( x + 9 ) ( 4 x − 1 ) = 0 ⟺ x + 9 = 0 or 4 x − 1 = 0 x = − 9 or 4 x = 1 x = − 9 or x = 4 1 S o l u t i o n s : x = − 9 2 or x = − 9 or x = 4 1 .
The solutions to the equation ( 9 x + 2 ) ( 4 x 2 + 35 x − 9 ) = 0 are x = − 9 2 , x = − 9 , and x = 4 1 . This is obtained by setting each factor to zero and solving for x .
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Jawab : Hp = {29/3, -23/3}