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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, Hence the given equation reduces to
4y2y14=0
4y28y+7y14=0
4y(y2)+7(y2)=0
(4y+7)(y2)=0
y=74 or y=2
When y=74,
(2x+3)=74
2x=194
x=198
When y=2,
(2x+3)=2
2x=1
x=12


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