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Question

Solve for x:

4x2+14x+6=0


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Solution

Roots of quadratic equations:

4x2+14x+6=0 (divide the equation by 2)

2x2+7x+3=0

2x2+6x+x+3=0 (using factorization method)

2x(x+3)+1(x+3)=0

2x+1x+3=0

2x+1=0orx+3=0x=-12orx=-3

Hence, the value of x are -3,-12.


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