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Mathematics
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What are the possible values of x in 8x2 + 4x = -1?
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*calculates* You will get complex solutions
\[4x(2x+1)=-1\] \[x(2x+1) = -\frac{ 1 }{ 4 }\] \[2x^2+x = -\frac{ 1 }{ 4 }\] \[x^2+\frac{ x }{ 2 }+\frac{ 1 }{ 16 }=-\frac{ 1 }{ 16 }\] \[\left( x+\frac{ 1 }{ 4 } \right)^2=-\frac{ 1 }{ 16 }\]
\[x= -\frac{ 1 }{ 4 }+\frac{ i }{ 4 }\]
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