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# If (x – 3)(x + 2) = (x – 2)(x + 3), then x =

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Founder
Joined: 18 Apr 2015
Posts: 6629
Followers: 107

Kudos [?]: 1266 [0], given: 5997

If (x – 3)(x + 2) = (x – 2)(x + 3), then x = [#permalink]  18 Apr 2018, 11:58
Expert's post
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Question Stats:

100% (00:53) correct 0% (00:00) wrong based on 6 sessions
If (x – 3)(x + 2) = (x – 2)(x + 3), then x =

(A) –3
(B) –2
(C) 0
(D) 2
(E) 3
[Reveal] Spoiler: OA

_________________
Director
Joined: 07 Jan 2018
Posts: 642
Followers: 7

Kudos [?]: 593 [1] , given: 88

Re: If (x – 3)(x + 2) = (x – 2)(x + 3), then x = [#permalink]  18 Apr 2018, 21:14
1
KUDOS
Use foil to expand the equation on both sides
$$x^2 + 2x -3x - 6 = x^2 +3x -2x -6$$
$$x^2$$ and $$-6$$ cancels out so the eqn reduces to
$$2x - 3x = 3x -2x$$
Hence, $$-x = x$$
This situation is satisfied only if $$x = 0$$
option c
_________________

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Re: If (x – 3)(x + 2) = (x – 2)(x + 3), then x =   [#permalink] 18 Apr 2018, 21:14
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# If (x – 3)(x + 2) = (x – 2)(x + 3), then x =

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