\(x\left(4x+1\right)-\left(2x-3\right)^2=-9\\ \Leftrightarrow\left(4x^2+x\right)-\left(4x^2-12x+9\right)=-9\\ \Leftrightarrow4x^2+x-4x^2+12x-9=-9\\ \Leftrightarrow x+12x=0\\ \Leftrightarrow13x=0\\ \Leftrightarrow x=0\)
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