Question

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

Answer 1

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`