SOLUTION: 2x^2-24x=180 how do I get rid of the exponent so I can find the value of x?

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Question 997140: 2x^2-24x=180 how do I get rid of the exponent so I can find the value of x?
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
2x^2-24x=180
x^2 - 12x - 90 = 0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
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=504 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 17.2249721603218, -5.22497216032182. Here's your graph:
Answer by josgarithmetic(39621)   (Show Source): You can put this solution on YOUR website!
You do NOT get rid of the exponent.

Simplify and try to factorize.


, factors in prime form for the constant, 3*3*2*5, and you might find in there, 6*15, something to test-try.

?
(x___6)(x____15)------no ; not work.
?
5*18 neither will work.

Discriminant?


, not a perfect square, but a positive value.

Factorization will basically "not" work.
Formula for general solution to a quadratic equation gives





or
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