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Question

Solve the folowing equation:
6x2+13x−42x+5=12x2+5x−24x+3


A
x = 0
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B
x = 11
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C
x = -1
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D
x = 1
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Solution

The correct option is D x = 1
On cross multiplying the given equation, we get
(6x2+13x4)(4x+3)=(12x2+5x2)(2x+5)
24x3+52x216x+18x2+39x12=24x3+10x24x+60x2+25x10
24x3+70x2+23x12=24x3+70x2+21x10
Transposing all the terms with x and powers of x to one side and constants ot the other side,we get
24x3+70x2+23x24x370x221x=10+12
2x=2
x=1

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