40 a 2 + 4 a = 0 ∣ d i v i d e b o t h s i d es b y 4 10 a 2 + a = 0 a ( 10 a + 1 ) = 0 ⟺ a = 0 or 10 a + 1 = 0 a = 0 or 10 a = − 1 a = 0 or a = − 0.1
The solutions to the equation 40 a 2 + 4 a = 0 are a = 0 and a = − 0.1 . This is found by factoring the equation and setting each factor equal to zero.
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