Lösung 2.3:3d
Aus Online Mathematik Brückenkurs 1
Because both terms, \displaystyle x(x+3) and \displaystyle x(2x-9), contain the factor \displaystyle x, we can take out \displaystyle x from the left-hand side and collect together the remaining expression,
The equation is thus
and we obtain directly that the equation is satisfied if either \displaystyle x or \displaystyle -x+12 is zero. The solutions to the equation are therefore \displaystyle x=0 and \displaystyle x=12.
Here, it can be worth checking that \displaystyle x=12 is a solution (the case \displaystyle x=0 is obvious)
