SOLUTION: Solve for x. {{{4x(x-9)-5x(x-8)=-5}}} x=____ Simplify your answer. Use a comma to separate answers as needed.

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Question 397255: Solve for x.

x=____
Simplify your answer. Use a comma to separate answers as needed.
Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!

......use quadratic formula

Solved by pluggable solver: Quadratic Formula

Let's use the quadratic formula to solve for x:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=-1, b=4, and c=5

Square 4 to get 16

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and -1 to get -2

So now the expression breaks down into two parts

or

Lets look at the first part:

Add the terms in the numerator

Divide

So one answer is

Now lets look at the second part:

Subtract the terms in the numerator

Divide

So another answer is

So our solutions are:

or