Solution: Note:Don't multiply it out!
If it's already in factored form, with zero on one side,
then be happy that a lot of the work has already been done for you.
Solution: Again, don't multiply it out!
When you have a product on one side, and zero on the other side,
then you're all set to use the Zero Factor Law.
$(2x-3)(1 - 3x) = 0$
(original equation)
$2x-3 = 0\ \ \text{ or }\ \ 1 - 3x = 0$
(use the Zero Factor Law)
$2x = 3\ \ \text{ or }\ \ 1 = 3x$
(solve simpler equations)
$\displaystyle x = \frac{3}{2}\ \ \text{ or }\ \ x = \frac{1}{3}$
Master the ideas from this section
by practicing the exercise at the bottom of this page.
When you're done practicing, move on to: Factoring Trinomials
(coefficient of squared term is not $\,1\,$)
For more advanced students, a graph is displayed.
For example, the equation
$\,x^2 = 2 - x\,$ is optionally accompanied by the graph of
$\,y = x^2\,$ (the left side of the equation, dashed green)
and the graph of
$\,y=2 - x\,$ (the right side of the equation, solid purple).
In this example, you are finding the values of $\,x\,$ where the green graph intersects the purple graph.
Click the “show/hide graph” button if you prefer not to see the graph.
CONCEPT QUESTIONS EXERCISE:
On this exercise, you will not key in your answer.
However, you can check to see if your answer is correct.