How do you solve the equation: -42z^2=14z?

1 Answer
Jun 28, 2015

The solutions are:
color(blue)(z=0 , z=-1/3

Explanation:

-42z^2 =14z

14z + 42z^2 =0

Here color(green)(7z) is common to both terms:
=(7z)(2 + 6z)=0

Equating the terms with zero to obtain the solution

  • 7z = 0, color(blue)(z=0
  • 2+6z = 0
    6z = -2
    color(blue)(z=-1/3