Question

86,4:(35,4-0,08*|x|)=-16

Answer 1

$\displaystyle \tt 86,4\div(35,4-0,08\cdot|x|)=-16 \: \: \: \: \: | \: x\ne442,5;\: \: x\ne-442,5\\\\ \displaystyle \tt \frac{432}{5}\div(\frac{177}{5}-\frac{2}{25}\cdot|x|)=-16\\\\ \displaystyle \tt \frac{432}{5}\div\frac{885-2\cdot|x|}{25}=-16\\\\ \displaystyle \tt \frac{432}{5}\cdot\frac{25}{885-2\cdot|x|}=-16\\\\ \displaystyle \tt 432\cdot\frac{5}{885-2\cdot|x|}=-16\\\\ \displaystyle \tt \frac{2160}{885-2\cdot|x|}=-16$

$\displaystyle \tt 2160=-16(885-2\cdot|x|) \: \: \: \: \: | \div16\\\displaystyle \tt 135=-(885-2\cdot|x|)\\\displaystyle \tt 135=-885+2\cdot|x|\\\displaystyle \tt -2\cdot|x|=-885-135\\\displaystyle \tt -2\cdot|x|=-1020 \: \: \: \: \: | \div (-2)\\\displaystyle \tt |x|=510\\\displaystyle \tt \bold{x_1=510}\\\displaystyle \tt \bold{x_2=-510}$