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Question

Solve for x if 4(2x+3)2(2x+3)14=0.

A

x=12,198

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B

x=12,198

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C

x=12,198

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D

x=12,198

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Solution

The correct option is A. x=12,198


Given: 4(2x+3)2(2x+3)14=0

Substitute (2x+3)=y, the given equation reduces to

4y2y14=0


Using Middle Term Splitting,

4y28y+7y14=0

4y(y2)+7(y2)=0

(4y+7)(y2)=0

y=74 or y=2


When y=74,

(2x+3)=74

2x=743=7124=194

x=198


When y=2,

(2x+3)=2

2x=1

x=12

Hence, x=12,198


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