SOLUTION: Use factoring to solve the equation. 9 x^ 2 + 45 x = 0

Question 113952: Use factoring to solve the equation.
9 x^ 2 + 45 x = 0

Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Factor the left side

Now set each factor equal to zero:

or

or Now solve for x in each case

So our solutions are or
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

........ each term in the expression has a common factor of , and we can simply factor out an :
........ ....now we have a product of an monomial and an binomial equal to
the product is equal to if one or both factors are equal to
so
if then
it will be true only if ; notice that is not equal to
so is first solution
then
if , will be equal to too
only if
so
..........another solution

check both solutions:
........ plug in

........ plug in

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