tìm x
a)(x+7)(3x-1)=x^2-49
b)5(x-3)-4=2(x-1)+7
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\(a,\left(x+7\right)\left(3x-1\right)=x^2-49\)
\(\left(x+7\right)\left(3x-1\right)-\left(x+7\right)\left(x-7\right)=0\)
\(\left(x+7\right)\left(3x-1-x+7\right)=0\)
\(\left(x+7\right)\left(2x+6\right)=0\)
\(\hept{\begin{cases}x+7=0\\2x+6=0\end{cases}}\)
\(\hept{\begin{cases}x=-7\\x=-3\end{cases}}\)
\(b,5\left(x-3\right)-4=2\left(x-1\right)+7\)
\(5x-15-4=2x-2+7\)
\(5x-19=2x+5\)
\(3x=24\)
\(x=8\)
a, \(\left(3x-5\right)\left(x+1\right)-\left(3x-1\right)\left(x+1\right)=x-4\)
\(\Leftrightarrow\left(x+1\right)\left(3x-5-3x+1\right)=x-4\Leftrightarrow-4\left(x+1\right)=x-4\)
\(\Leftrightarrow-4x-4=x-4\Leftrightarrow-4x-x=0\Leftrightarrow x=0\)
b, \(\left(x-2\right)\left(x+3\right)-\left(x+4\right)\left(x-7\right)=5-x\)
\(\Leftrightarrow x^2+x-6-x^2-3x+28=5-x\Leftrightarrow-2x+22=5-x\Leftrightarrow x=17\)
c, thiếu đề
d, \(3\left(x-7\right)\left(x+7\right)-\left(x-1\right)\left(3x+2\right)=13\)
\(\Leftrightarrow3x^2-147-3x^2+x+2=13\Leftrightarrow x=11+147=158\)
a.\(3x^2-2x-5-\left(3x^2+2x-1\right)=x-4\)
\(\Leftrightarrow-5x=0\Leftrightarrow x=0\)
b.\(x^2+x-6-\left(x^2-3x-28\right)=5-x\)
\(\Leftrightarrow5x=-17\Leftrightarrow x=-\frac{17}{5}\)
c.\(5\left(x^2-10x+21\right)-\left(5x^2-9x-2\right)=0\)
\(\Leftrightarrow-41x+107=0\Leftrightarrow x=\frac{107}{41}\)
d.\(3\left(x^2-49\right)-\left(3x^2-x-2\right)=13\Leftrightarrow x=158\)