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In Mathematics / Middle School | 2014-07-29

How would you solve \((4k+5)(k+1)=0\)?

Asked by Willthewhale

Answer (3)

(4k + 5) (k + 1) = 0
Before you rush off and start trying to do complicated things with that equation, put your pencil down, fold your hands in your lap, and sit and look at it for a while. Keep looking at it until a little voice yells out "Hey ! That's a true statement if either (4k + 5) is zero or (k+1) is zero. THEN go to work on it.
(4k + 5 = 0) 4k = -5 k = -5/4
(k + 1 = 0) k = -1
And there are the two solutions to that equation.

Answered by AL2006 | 2024-06-10

( 4 k + 5 ) ( k + 1 ) = 0 ⟺ 4 k + 5 = 0 or k + 1 = 0 4 k = − 5 or k = − 1 k = − 4 5 ​ or k = − 1 ​

Answered by Anonymous | 2024-06-10

To solve ( 4 k + 5 ) ( k + 1 ) = 0 , set each factor equal to zero. This results in the solutions k = − 4 5 ​ and k = − 1 .
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Answered by AL2006 | 2024-10-13