SOLUTION: how do you solve this kind of problem? i don't understand how to solve them. can you explain? Ex.: Solve each equation. check your solutions 2x(5x-10)=0

Question 74468This question is from textbook Algebra 1 Integration Applications Connections
: how do you solve this kind of problem? i don't understand how to solve them. can you explain?
Ex.: Solve each equation. check your solutions
2x(5x-10)=0 This question is from textbook Algebra 1 Integration Applications Connections

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Divide both sides by 2x

There's one answer
Go back to the original problem
Divide both sides by (5x-10)

There's the other answer. The reason why you have 2 answers is because when x is 0 or 2 (notice the or) then the entire equation equals zero. If I plug in x=0 then I get

works

works
So in a general sense if I have
then I can set either p or q equal to zero to solve for p and q since 0 times anything is 0.
So the solution is
or
So the answer is x=0 or x=2
Also, notice if you graph the x-intercepts will be x=0 and x=2. These are points when y=0
Graph of
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