SOLUTION: (x+4)(x-9)=4x How do I solve this? step by step directions please? Thank you in advance.

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Question 985345: (x+4)(x-9)=4x How do I solve this? step by step directions please?
Thank you in advance.
Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!
expand the left side
combine lie terms
now solve

Now either factor of use the quadratic equation.
Let's factor
what two integers have the sum -9 and the product of -36?
How about -12 and 3?

For a product to equality zero, either one of both of its multiplicand or multiplier must be 0.
So either (x-12=0) or (x+3=0)
That says x = 12 or -3
Now lets use the quadratic equation to solve
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=225 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 12, -3. Here's your graph:


Either way, same result. Math is great!
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