a: \(\frac57-1\frac47\cdot\left(450\%+\frac23x\right)=-\frac{1}{14}\)
=>\(\frac57-\frac{11}{7}\cdot\left(\frac23x+\frac92\right)=-\frac{1}{14}\)
=>\(\frac{11}{7}\left(\frac23x+\frac92\right)=-\frac{1}{14}-\frac57=-\frac{11}{14}\)
=>\(\frac23x+\frac92=-\frac12\)
=>\(\frac23x=-\frac12-\frac92=-\frac{10}{2}=-5\)
=>\(x=-5:\frac23=-5\cdot\frac32=-\frac{15}{2}\)
b: \(100=6\cdot7^{\left|x+2\right|}-194\)
=>\(6\cdot7^{\left|x+2\right|}=100+194=294\)
=>\(7^{\left|x+2\right|}=49\)
=>|x+2|=2
=>x+2=2 hoặc x+2=-2
=>x=0 hoặc x=-4
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