Question

Find n 5|6n+15|+2=-43

Answer 1

No solution

Explanation:

`5|6n+15|+2=-43\qquad\text{subtract 2 from both sides}\\\\5|6n+15|+2-2=-43-2\\\\5|6n+15|=-45\qquad\text{divide both sides by 5}\\\\(5\!\!\!\!\diagup^1|6n+15|)/(5\!\!\!\!\diagup_1)=(-45\!\!\!\!\!\diagup^9)/(5\!\!\!\!\diagup_1)\\\\|6n+15|=-9\qquad\bold{FALSE}\to\text{no solution}\\\\\text{because}\ |a|\geq0\ \text{for any real value of}\ a.`