Quadratic Equations: example 7.78

Solve: $9 m^{3} + 100 m = 60 m^{2}$ .

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Solve: $8 x^{3} = 24 x^{2} - 18 x$ .

How did it go?


Bring all the terms to one side so that the other side is zero.
Factor the greatest common factor first.
Factor the trinomial.
Use the Zero Product Property to set each factor to 0.
Solve each equation.
Check your answers.	The check is left to you.


Bring all the terms to one side so that the other side is zero.
Factor the greatest common factor first.
Factor the trinomial.
Use the Zero Product Property to set each factor to 0.
Solve each equation.
Check your answers.	The check is left to you.