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How to solve a quadratic equation

How to solve a quadratic equation-example-1
User Const
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1 Answer

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4x^2+4x-3=0\\\\4x^2+6x-2x-3=0\\\\2x(x+3)-1(2x+3)=0\\\(2x+3)(2x-1)=0\iff2x+3=0\ \vee\ 2x-1=0\\\\2x+3=0\ \ \ |-3\\2x=-3\ \ \ |:2\\x=-1.5\\\\2x-1=0\ \ \ |+1\\2x=1\ \ \ |:2\\x=0.5\\\\Answer:\ x=-1.5\ \vee\ x=0.5
User Jannik Anker
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