150 Followers Question

Algebra Level 2

If ( x + 5 ) ( 2 x − 3 ) = 0 , (x + 5)(2x- 3) = 0, what are all the possible values of 2 x − 3 2x-3 ?

0 0 and − 13 -13 − 5 -5 and 3 2 \frac{3}{2}

Benedict Dimacutac by Benedict Dimacutac , 21, Philippines

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1 solution

If ( x + 5 ) ( 2 x − 3 ) = 0 ⇒ (x + 5)(2x - 3) = 0 \Rightarrow ( x + 5 = 0 ⇒ x = − 5 ) ( x + 5 = 0 \Rightarrow x = -5) or ( 2 x − 3 = 0 ⇒ x = 3 2 ) . \text{or } (2x - 3 = 0 \Rightarrow x = \frac{3}{2}).

If x = − 5 x = - 5 then 2 x − 3 = − 13 2x -3 = -13 and if x = 3 2 x = \frac{3}{2} then 2 x − 3 = 0 2x -3 = 0

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