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a.
\(\Leftrightarrow\dfrac{3\left(4x^2+4x+1\right)}{15}-\dfrac{5\left(x^2-2x+1\right)}{15}=\dfrac{7x^2-14x-5}{15}\)
\(\Leftrightarrow12x^2+12x+3-\left(5x^2-10x+5\right)=7x^2-14x-5\)
\(\Leftrightarrow7x^2+22x-2=7x^2-14x-5\)
\(\Leftrightarrow36x=-3\)
\(\Leftrightarrow x=-\dfrac{1}{12}\)
b.
\(\Leftrightarrow\dfrac{5\left(7x-1\right)}{30}+\dfrac{60x}{30}=\dfrac{6\left(16-x\right)}{30}\)
\(\Leftrightarrow35x-5+60x=96-6x\)
\(\Leftrightarrow101x=101\)
\(\Leftrightarrow x=1\)
c.
\(\Leftrightarrow\dfrac{8\left(x^2-4x+4\right)}{24}-\dfrac{3\left(4x^2-9\right)}{24}+\dfrac{4\left(x^2-8x+16\right)}{24}=0\)
\(\Leftrightarrow8x^2-32x+32-12x^2+27+4x^2-32x+64=0\)
\(\Leftrightarrow-64x+123=0\)
\(\Leftrightarrow x=\dfrac{123}{64}\)
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